{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pyAudioKits.audio as ak"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "When discussing the representation of digital audio signals, we have discussed the truncation, and we said that it is equivalent to first sampling to get $\\{x_d[n],-∞≤n<∞\\}$, then multiplying by a **rectangular window** $w[n]=\\begin{cases}1\\quad 0≤n<N_{max}\\\\0\\quad others\\end{cases}$ to get $x[n]=\\begin{cases}x_d[n],& 0≤n<N_{max}\\\\0,& others\\end{cases}$. This operation is called **windowing**.\n",
    "\n",
    "By windowing, the audio can also be truncated into many small segments and arranged into a matrix: $x[k,n]=x[kR+n]w[n],w[n]=\\begin{cases}1\\quad 0≤n<L\\\\0\\quad others\\end{cases}$, where $R$ is called the **step length** and $L$ is called the **frame length**. This is called **framing and windowing**. In addition to the vector representation of the whole audio, the matrix representation after framing and windowing is also one of the important representations of the audio signal.\n",
    "\n",
    "The analysis methods used in the previous two sections are applied to the whole audio, and the energy, power, autocorrelation function, spectrum, power spectrum, etc. reflects the overall characteristics of the audio. At the end of the second section we mentioned a general stochastic process: $X_t=c_0+\\displaystyle \\sum_{k=1}^∞ [a_k sin(\\frac{2\\pi k}{T} t)+b_k cos(\\frac{2\\pi k}{T} t)]+\\alpha_t,-∞<t<∞$, where $\\alpha_t$ describes the random vibration, while $\\displaystyle \\sum_{k=1}^∞ [a_k sin(\\frac{2\\pi k}{T} t)+b_k cos(\\frac{2\\pi k}{T} t)]+c_0$ is the Fourier series representation of an arbitrary deterministic periodic signal, when we assume that $a_k$, $b_k$, $c_0$ and $T$ are constant with time and $\\alpha_t$ is a single realization of a stationary stochastic process, thus allowing us to apply the analysis used in the previous two sections. However, if $a_k(t)$, $b_k(t)$, $c_0(t)$ and $T(t)$ vary with time and $\\alpha_t$ is non-stationary, then after decomposing the stochastic process into deterministic and stochastic parts, the deterministic periodic signals no longer have fixed frequency components at each moment and the stochastic signal is no longer a smooth stochastic process. In this case, the analysis method mentioned in the previous two sections has some limitations."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "First we create three monotones of 1s duration, but with different amplitudes and frequencies, and then concatenate them together."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "monotone1=ak.create_Single_Freq_Audio(0.02,440,44100,1)\n",
    "monotone2=ak.create_Single_Freq_Audio(0.01,880,44100,1)\n",
    "monotone3=ak.create_Single_Freq_Audio(0.03,660,44100,1)\n",
    "variating_tone = ak.concatenate([monotone1, monotone2, monotone3])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Plot the concatenated audio waveforms from 0 to 0.01s, 1 to 1.01s and 2 to 2.01s to compare the difference in amplitude and frequency."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 432x288 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "variating_tone.plot(0, 0.01)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 432x288 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "variating_tone.plot(1, 1.01)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 432x288 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "variating_tone.plot(2, 2.01)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Calculate the power of the audio and it is found that it varies from 0 to 0.01s, 1 to 1.01s and 2 to 2.01s. The power is the smallest since the amplitude is the smallest from 1 to 1.01s, and the power is the largest since the amplitude is the largest from 2 to 2.01s. The power of the whole audio is between the maximum and minimum power."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.00023333333333333336"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import pyAudioKits.analyse as aly\n",
    "\n",
    "aly.power(variating_tone)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.00020327892831286895"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "aly.power(variating_tone[0.0:0.01])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "5.016181796717433e-05"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "aly.power(variating_tone[1.0:1.01])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.00044498231903136834"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "aly.power(variating_tone[2.0:2.01])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The autocorrelation function of the whole audio has a period of about $4.54s$ with a frequency of $220Hz$, which is the maximum convention for the frequencies of single tones with frequencies of $440Hz$, $60Hz$ and $880Hz$. But when intercepting the audio for autocorrelation within 0 to 0.5s, 1 to 2.5s and 1 to 2.5s, the autocorrelation function period results are all different, with $2.27ms$, $1.14ms$ and $1.52ms$ respectively."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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61Yv8v89dx+Ny8EffusZHvnzRapO2RUrJr/zPV/n4t68zHkvyT/70Zf52fM5qs25jOZUHINrCQkILK5V3QbYvShx2wW4uYL5Y4mNPXeKB0S5+76ce5pP/6PVkCyX+8zOXrTatJlMraf7wm1d530PD/PHPnOI/vvdeXp1c5a/PzlhtWhXt820151B+LfssJK7Or/HJ5yf4yUf28eVfehM//dh+/uSFG5yfiVttWk2euTDHU+djfPgdx/nOr/8gxwdC/Ju/OmerJtTlVBanQxDyNb8VTjToIVsokc7Ze76SEodd6O7w2ipU8NVzMWbiGT705GGcDsFoNMA/fHQ/f/XKNLG4vcI1AJ/4zg2khF/74WMAvPfBYY70dfDJ5yesNWwTmji0knPQhMVOIchPvXADp0PwL3/oKAC/9o5jBD0uPv7cdYst24qUkv/y9Ssc7Anyc288gNfl5Nd/5Dgz8Qx/Y6uFRLkBztFksyS0T5e0Eodd6A7aq7LgC69MM9jp4y1H+6rHfuYN+ymWJP/r9KSFlm0lky/yuZemeOd9gwx1+YFyHuf9j+zj1clVLsWSFltYRqswanZeDoDb6aDT77aNl5nJF/nCKzO8677B6pC4sM/N//b6Ub58dtZ2E2RfmVzlwmyCn33jAVzO8m3pLUd7OdgT5LM2Oq/LzZLNJ6NhY1Cj3UvklTjsQjToIb6et0VVUCKT57nLC/zo/YO3rVzGeoI8ciDKl1+zVwLvG+PzJDIFfuJ1I7cdf/cDQwgBT5+PWWTZ7egRR4byQsIu4vD81UXWsgXe99Dwbcf/walRCiXJl8/a61z54ivT+NwO3rvJXiEEP/bAEN+7scycTYoYWu2HgfapbFPisAvdNpqv9OL1ZQolyQ8e79vy2NtP9DMeSzK1krbAstp87cIckYCbxw9133a8N+TlwdEunrlgj2TjciqL3+3E72lt/+eIjcTha+fnCHldPHbw9r/9sYEQxwdCtlpISCl55sIcbzzcS4f39lj+u+4fREr42/F5i6y7nVY76UGFle4aojZqhPvu9SU8LgcP74tseezJE2XBePaiPS6iUkny3OUF3ny0txom2Mxbj/Xx2nScFRv8XZdT+ZYveLBX8cIL1xd5/HA3HleNv/3xPl6+uUIyk7fAsq2cn0kwE8/wQyf7tzx2pK+DwU4f376yYIFlW1lusVkS2me+khKHXbCTyv/d9SUe3teFz711hXuwt4ODPUG+ftEeq/FzM3GWUjnecqy35uNvqHgT37uxbKZZNVlJ54i0GEcG++SnYvEMk8vrvH4sWvPxNx/tpVCSvHBtyWTLavPMhTmEgLee2OoRCyF405EevnNl0fLy52JJsprONT2uW0Obr2SnyrZaKHHYhR6bqPxqOseF2QRvONiz7XOePNHHd68vkc4VTLSsNt+8VF7pvelIbXG4f6QLv9vJd69bf4PSYzUI5YXEig3q178/URbcRw7UFoeH90Xo8Lr41mV7rMafHZ/jdfsi2+7Cd2osSiJT4PrimsmW3U58vdIsqZOXafU9ZTeUOOxCNXlkcXXH924sI+XGirsWjx/uIV+UnLm1ap5h2/CtywvcP9K57QXvcTm4b7iTV6dWzTWsBq2OztCIBj0USpLEurXifHpimYDHycnBcM3HPS4Hjx/q5luXFiwXskQmz/mZBE8c3n7R89BoFwCvWHxe61HyrNHd4bFFNGInlDjsQlfAgxDW5xzOTK7idgoeGO3c9jmv2x9BCHhxwtpQTSZf5NXJ1R2FDOC+kU4uziYoWFwJtrymjzjYZYrvixMrPLwvUjPXo/Gmo71Mr65zc8naAoaXJlaQEh7dxssBONTbQcjrsnwhoas42Cg/tR1KHHbB6RBEAta7gOdnEhzpC+F1bV9RE/a5OT4Q5vTEiomWbeXsVJxCSXJq//YXPMB9w51k8iWuLlgXLsgVSiSzhZbLWMEexQvJTJ7xWIJTY1uLFjbz+srjL9+y9lx5cWIZl0PwUI0iCw2HQ3D/aCdnJlfNM6wGeopDNOhV4rATQohPCiHmhRDnNh2LCiGeEUJcqfy/81luAtGg9S7ghZkEJ4dqhwk288hYhJdvrVi6Gn/pZvmG87r9O3909w6XvaCzU9aNc1jVoQFOozp8z8KLfjyWREp4YKRrx+cd6QsR8rqqn5VVfP/GMveNdO5aRvzgaBfjs0kyeetGTqyk9Q0rLa5lLQ/r7YTVnsOngHfccezDwLNSyiPAs5XvLcVqF3A+mWFxLcs9dYjDqbEo6VyRC7MJEyyrzUs3VzjYE9z1IjrYEyTocXJu2jpxWNbxgo/YoLlpvPK5Hx8M7fg8p0Pw4L4uXrYwjp/JF3l1apVHtqmq2swDI10UStLac0WHGVwa3W0wX8lScZBSPgfcGSB/D/DpytefBt5rpk216O7wWBpHvjBTvuC3SzBuRitftCq0JKXk5VsrPLyL1wDlcME9w528dhdd8Jtf0wouxpJ0+t0MhH27PvfhfREuxRKsZa1JoJ+dipMvSk7VIw6VpPT5GesWPcupHEGPs2YpeaO0Q5e01Z5DLfqllFr7ZgzY2hkDCCE+KIQ4LYQ4vbBgbEleNOhhJW1dw5B2QZyow3MY6PTRH/ZadsOdWEqznMrtGlLSuG+4kwszCcv2GdBjXLeGz+0k4HFa7jkcHwghxO6D4V63P0JJwqsWxfLPVhLMOxVZaPSFvIR9Li7PWTePazmV0yX8CBvnm91mXG3GjuJQRZYDcjXvGlLKj0spT0kpT/X21q6l14towMNqOmfZDezCbILRqJ+wr75GrfssXI1r73v/yO4XPJTHOWQLJSaXramaWdHRcwBru6RLJcmlWJITdXiYAA/u60IIeNmivMNr03EGO330hXb3coQQHO0PcWXOuuKF5VTrDXAaWvGCHcbybIcdxWFOCDEIUPnf8nkQkaCHkoTEujXew/hsghMD9V3wAPcNd3FtYc2ScMH4bAKXQ3C4r6Ou5x/qLT/v6rw1F702dK8r0HqHNFjbJT21sk4qV+T4wM75Bo2wz81Yd9CyUM3ZqXjdiwiAI/0hLs8nLUvi6uo5VMNK9hhhUgs7isOXgA9Uvv4A8EULbQE2xQctUPl8scTNpXTdN1sor9qlhPMWeA8XZxMc7uvYseR2M9rvZVU560o6R9jnwr1DT0AjWLlz4MWYloyufyFxcijM+Vnzz5P4ep4biynu36WqajNH+jpYTedZsCgUo8dEVo2N4gUVVqqJEOIvgL8DjgkhpoQQPwd8FHi7EOIK8LbK95aihRysCBdMLqcplCQHe+sXB61E1IrQ0ngsWffKFaDT76Y35LXQc9DvgodK/bpFZc/a/hhH++s/V+4ZCjO5vE7c5JyatnC5b7h+z+Fof/m8siq0tJLO6dIPAxD0OPE4Hbb2HJrf604HpJQ/uc1DT5pqyC5YWVlwfSEFwMHeYN0/0xvyMtjpM10cVtM5ZuOZhlauAId7O7hmkeegvzi4LfEwAW4sphjq9BHw1H9Z3zNUvjmfn43z+KHtR1jozdmmxKEsepfnkjuO2zCCTL5IOlfULawkhCASdNtiKvF22DGsZDu0E8KKD1IbNnaop/7VIJS9B7NrwscrK9dGPAeAQ31Brs6vWRJL1lscIkEPmXyJdQvq128spjjQwCICqPbOXDA573BuOs5IxN/QzbY35KXT7+ayBZ5DtapNZy/T6skLO6HEoQ40V9KKFeH1hRTdQQ+dDSZMTwyGubGYMrWjVGvAqrdaRuNwbwfJTIGFpPnx15W0PhNZNbotyk9JKbm+sMaBnsbEoafDS3/Ya3pS+lIsyfEGiixAq1jq4JoFIchqP4zOXqaqVmpz/B4nfrfTGs9hIdVQSEnjxECIksTUuvDxWJJIwE1fqPYk1u043Ff2NMzOO0gp9fccAtZ4mSvpPIlMgbHuxs+Ve4Y6OT9jnpeZLRS5vpjixC5d3LUY6w4ysZQywKqdMcJziAQ8Kqx0N1CuQjE/eXR9cY2DDYaUYGP1Pj5rnjhcrNTY19OAtZlDfeUb2rVFcy/6dK5ItlDSeTVoTX7qxmLjuSmNe4bCXFswz8u8Or9GsSQ51mD4Ecr7pc8ns6bvWWKE52CXzaG2Q4lDnUQscAHj63kW13JNXfD7ogH8bme1vNFoiiXJ5SZCBQD9IR9el4NbJq8I9ZyyqVHNT5l8rmjicKCJhcQ9Q2GKJVnNGRmNtmBpNDcFsL87AGD6qHFDPIegh/h63vKR9duhxKFOIgHzO183VoONX/AOh+DYQMg0z+HWcpr1fHHXgW+1cDgEo9GA6Rd8dcqmjjkH7bXMnuI7sZjC6RCMRPwN/6xWsWRWAcOluSQel6OpEJj2M1aIg0NQ95SCetAWJasWNdfuhhKHOinPVzL3gr9VGSmhrZYa5cRgiIuxhClVQBe1ZHQTngPA/mig+vuahRGhgrDfjUNY4znsiwaaauYbifgJ+1ymTfK9OJvgSF/HjpsRbce+qudgspdZKVxwOBoLme6E3YfvKXGok0jAY3pzkzZvqJnVIMDxgTCr6TxzCeOrgMZnEzgEHGmgAWsz+7rL4mBmOaue8/k1nA5BlwVe5vXFVMOVShpCCI4PhqvVZkbTTKWSRtjnpjvoYcJsL1PnwgXYVAWpxKG9iQY9JLMFcgXz4oOTy2l6OrwNNTVtRktKm5F3uBhLcqAn2PQ4433RAOlckUUTBVgL/egZVgKIBMzNT0kpmVpOsy/anIcJ5eq2S7EkJYOHSy6ncswns03lGzT2dwdM9xyWdJyrpGFl/1Q9KHGoE+2DXDXxor+1nGY02pzXAFSrQczIO4zHEg13Rm9GC52ZGVpaSedwOgRhv76DAsyezJpYL5DMFpr2MKE8jymVKzK1sq6jZVsZr85/al4cxrqD5uendJzIqmGHnQN3YldxEEL0CyE+IYT4auX7k5UZSHsKK5qbbrW4Guz0uxnu8lfzAUaRzOSZXF6vazOi7dgXLYdEbi2btyJcTuWJBDwNl97uRrl+3bwk4+RKa+FH2KgcMtrL1BYqzZSxauzvDjITXydbMK/BU8+JrBpdFvXE1Es9nsOngKeBocr3l4FfNsge22L28L18scRsPNOSOED5ojdaHLRGu1ZCBSMRP0LArSVjV66bKceR9as+0eju8Ji6iNBW+yOR5s+VYwMhhDDey7wUS9Id9NDb0Vij5Gb2dfuREsO9HI1SSbKS1t9z8LgchLwuy2Zx7UY94tAjpfwsUAKQUhYA+258ahDRanzQnBXh7GqGYkky2sIFD2X3/fpiytBV1kWtbr0Fz8HndjIQ9nHTTM9B59EZGlrnq1nJ9SkdPIeAx8VYd7Aa9jGK8ViiIkTNe2vDXeVrYtokcYiv5ylJ/TaE2ky0w9r96XeiHnFICSG6qezIJoR4DLBu01+LiFRWmGapvBYqGG3Rczg2UG5wujZv3E13PJYg5HMx1Ln7jl47sS8a4JaJsWS9R2doRIMeCiVJ0qTNlqZW1unwuuj0t+YFGe1llkqSy3NrLYWUAIYrIji9ao44LBtQ1aZhRf9UvdQjDr9CeQOeQ0KI54H/AfwLQ62yIWbPzNESs60kpGEj1HNpzriL/uJskhMDjY/NuJPhiJ8Zky54MKY8Ecw/V6ZW1ithudb+/scHwtxcTpMySNS0Rslme2E0+kNenA5hmuewYkAnvYYV/VP1sqs4SClfBn4AeBz4BeAeKeVZow2zG26ng5DPZZrKTy6ncTkEg52ticOBniBupzBsNIK2b3Er1Scaw11+YomMKeMEtDiyURc8mFeFMr263lJISeP4YAhp4LBGLWTVqufgcjoYCPtM8xyWDBYHqzaH2o1da/iEED9zx6GHhRBIKf+HQTbZFjNLFKdX1xns8uFssSPT7XRwqLejukuY3kyvrrOWLTQ8prsWQ11+ShLmklmGu1q/2e1EImNcHNns+vWplTSPHoi2/Drain48luShfZGWX+9OxmNJhNjY0a0VhiP+u8ZzaOeE9Os3/XsT8JvAuw20ybZEAua5gLPxTMteg8bxSoOTEWgx6lYqlTQ0QTAjtGTE0D0NMztf4+t5kpnWehw0RiJ+gh6nYZ3S47NJxrqD+D3NNUpuZqTLf1d4DpGAdZtD7caunoOU8rb8ghCiC/iMUQbZme6gh1giY8p7xeIZHtrXpctrHRsI84UzM8TT+YY3DdoNPVeDQxaIg9616+XXLP+NzVhIaJVKenha2rDGiwYtJC7NNba/+E4MR/zEXi2HIJuZ0dQIK6kcAY+z6e7/ndBKqZdSWUY8rRWf6E0zf9UUcEBvQ9qBSNCczTmklMTiGQZarP7R0PIBlwyIJY/HEuyPBgh6W+8yHuoq/75m1K8bMYJZo8Prwu0Upuz/oUePw2ZOVGYs6V2Gm84VmFhKtZxv0Bju8lMsSVMWa8spY0qeobxVKJhXIt8I9XRI/7UQ4kuVf38DXAL+ynjT7IdZ8cHlVI5cscRgWCdx0CqWDKhhH59tfojanQQ8LiIBtymeg7aqN8JzEEKUq1BMWEhsiINOIcjBMIlMgZm4vjfdK3NrSIlu50q1nNWMhYRBhQuw4TnYMe9Qz3LvP236ugDclFJOGWSPrdkcH9Qjbrods5ULc0CnnMNA2EfY59K9Ymk9V+TGUop3Pzi0+5PrZKjLnHJWbVWv99A9jUjAnIXE1EqaoMdJl07hwhPVeVwJXYsCqjOVdPQcwJxeB6P6YWDz5AXz90/fjXpyDt8yw5B2YLPKD3uMq6bRxGFQp7CSEILjA2HdxeHSXBIp0aVSSWOoy29KI9xyKovP7TBM5M30HEYiAd3mQx3VxCGW5MkT/bq8pvZ6frez5XEwGlp+yhTPIZXjUBMbbtVDdyWsZMUWxLuxbVhJCJEUQiRq/EsKIcwZ/G4zzGpuisXLJ7xe4gDl2vLLsaSuseTxFjf4qcWwiZ6DUV4DlMNVZngO0yv69DhohH1uRiL6D2scn01ydCCk22Y5PreTng6vKZ6DUc2SACGfC6dD2HL43rbiIKUMSSnDNf6FpJT63Q3aCLN2bpqNZ3A5BN0tDCe7k2MDIZLZgq4X03gsSdDj1PXmNNzlJ5ktkMgYu5JaSeeIdhgnDlGTxiJMraSr8Xe90NvLlFKWR7rrUNG2meGI8eWsmXyRVK5omDg4HIJIwG3Lsd11VysJIfqEEPu0f0YaZVciJolDLJ6hP9x6A9xmNpLS+l30F2fLQ9T03DrRrHJWIytQwJzN41PZAolMQbd+GI0TgyGuL6yRyetTe7+QzLKSzuvSRb+ZkS7jG+GM2C3wTswKQTZKPdVK7xZCXAFuAN8CJoCvGmwXQoh3CCEuCSGuCiE+bPT71UO3iZ6DniEluD2WrAfl1WCypUmstdDKWc246A294ANupCw3qRmFVsap97lyYjBMScLV+TVdXk875/QqY9XQPAcjp99quwUaupAwqXihUerxHP4D8BhwWUp5AHgS+K6RRgkhnMDvAz8CnAR+Ughx0sj3rIewz5zN42MJ/XocNMK+8sY/enkOsUSG+Hq+Wt2iF2Z1SS+vGe85gLHnSqxa1abvuaJ5mRd0yjtsVCrpu5AY7vKTLZQM3VrWLM/BjpNZ6xGHvJRyCXAIIRxSym8Apwy26xHgqpTyupQyR7kj+z0Gv+eulOODxn6QUkpm4+u6rwZB3zEa4zrs4VCLng4vHqeD6VXjmptyhRLJbMHwCx6MrULRu6pNY393EJ/bodvGPxdnkwyEfbr/vYdMKGc1csyKRtuGlYBVIUQH8G3gz4QQv0u5S9pIhoHJTd9PVY5ZTsTgEbvx9TyZfEm3HofNHBsIcW1hjVyh9Ti4tqrUO1TgcAgGu3yGeg6rJq0GwdgQ5FwlrNSvU7OkhtMhONYf0m3jnwszCU4O6V/DooliTOeGvc2YJg7pHKWSOZtD1Us94vANoBP4EPAUcA34MSONqgchxAeFEKeFEKcXFhZMe1+jq1CMWg1C+UZeKEmuL7YeS74wm2A06ifs03+bzaFOY8tZjdy8RSNqQlhpNr5OJOA2ZObP8YEwF3UYo5HJF7m6sNbS/uLboYXT5gwcobGSyuEQtLyR0k5EAh5KBuenmqEecXABXwO+CYSA/1kJMxnJNDC66fuRyrEqUsqPSylPSSlP9fb2GmzOBpGg29A5KEbFkWEj5qtHaOnCTIJ7Bjtbfp1aGO05VIfuGZxk3PxeRlCev2VMM+bxwRAr6TwLydY6d6/MrVEsSUM8h2jAg8fpqC6ojGAplaMr4NG1cvBOuisl1XZLStez2c+/l1LeA/wiMAh8SwjxdYPt+j5wRAhxQAjhAd5PeTc6yzF6vpKRnsPB3vLGPxdbjCWvZctD1Iy44KHsOcwlsxQNcrPNCBX43E4CHqehsWQjqto0tIVEqxNatWY6PbvoNRwOQX+nt9o0agRGV7WB+TsH1ksjU1nngRiwBPQZY04ZKWUB+OfA08BF4LNSyvNGvme9GL15/Gx8HYeAXh0b4DQ2Nv5pLZZcntoJ9xgkDoNdPool2fKqdTu0i1AbrW0URhcvaP0wRnBicGPGUitcmE0Q8DjZr9PYjDsZCPuM9RzWcoZ20oP5OwfWSz19Dv9MCPFN4FmgG/h5KeX9RhsmpfyKlPKolPKQlPIjRr9fvWibxycyxuyzOxvP0BfyGTaj/pgOFUvnZ8o3DKM8B201PGPQilCrIDIyrATGepnZQpGlVM4wz6Er4GGw09fyGI0LMwlODIZ1bZTczECn39icQzpn+CKimp9qN3GgHPv/ZSnlPVLK35RSXjDaKDtj9Aep5z4OtTg+EGYmniGebj5vcmEmQTToYcCgVavW8WtUFcpKOkfY58Jt8CYxRu7/MZ8oe1XGniuhlpompZRcnE1UvRAjGOwsew5GefLliaz6e/Gbqean2jDn8BtSyjMm2NIWVEdoGPRBGtXjoHHvcHm1f24m3vRrnJ+Nc3IwrNsk0Dupeg4GJaWNHMG8mWjAbeB5YlxuSuP4YJir882XPk+trJPMFjhpUOEClMNK2UKJ1RYWO9tRKklW0vnqNGaj8Huc+N1Olg1s5msGY5dOdyFRA5NH5QY4/faOrsW9Q+UL9bXp5sQhXyxxObZmWL4BymWDfrfTMM9hOZUzZJOfOyl7DsZUts1WQm5GeW9Q9hwKJcm1heZKn40OP8KG52RE3iGRyVMsScM9BzBvI7FGUOLQIEY2NyWzBdK5oqGrwUjQw0jE37Q4XJ1fI1csGXrBCyGq4QIjWE4Zn2SE8kJiLVsgW9B/83gjS541tAqjZpvhLszEcQg4pvM01s0Y2euwUdVmrOdQfg/7dUkrcWgQI2fmmHHBA9w33Mm5JsVBWw0a6TlApdfBoIR0OclogjhU6teNCHnEEhk6vC5CBjQhahzoCeJxNj9G49WpOEf7Q4bumjhooOewMVfJeM8hYsP5SkocGiToceJxOgyZmWNGHBng3uFObi6lm+rIPDcdx+d2cKDHmJ2xNAY7/YaElaSULKdy1Qm7RhI1sBHO6MIFKJc+H+nvaGoAn5SSV6dWeWCkS3/DNtHb4cUhMKTXQZvIao6XaVx+qlmUODSIEKLSJW3EBV+JI5vgOQCcb8J7ODO5yv3DXYZ2jEJZIOcSGd33Q0jnimQLJdNyDmBMfsrIBrjN3DfcydmpeMNzf24tp1lN53lwX5cxhlVwOR30hrzV8eV6onkORpeyQtk7MXLyQjMocWiCaNBriMrPxjMIAX0hc8Th1anGxCFbKHJhJsFDBl/wUPYcShIW1vRthKvGkc1YDRrY3GRkA9xmHtrXRXw9z42lxmZtnplcBTDcc4Byr4MRYSXtc+s2JSHtNiw/1SxKHJogGnQbEiqYXc2UR1a7jK+/P9gT5KWbKw393PmZBLliySRx0MpZ9b3ozRidoVEdi6DzQqJQLDGfNMdzeHhfBICXGzxXXp0shx+P9hsbfgQYCHsNCUGupHL43A5DcyYaG16mfbwHJQ5NoI3Q0JvZhDkXPMDD+yO8fGuloeahM7dWAXiocsMwksEuY8YxV8XBwP2jNboC7tveUy8W13KUpPHhR4BDvR2EfC5eqXgC9fLq1Cr3DXca1um/GaPyU0upnCleA5i3y2QjKHFoAqNqkmPxdUPr1jdzan+E5VSOiaV03T/zyuQqQ50+U8IZg+Fyr8eszonGxUqYqseEi97tdBD2uXRfSGh/EzMWEg6H4MHRroY8h0y+yGvTcVMWEVAWyWS2wFpW35E2KynjR2domDHFt1GUODRBJGDM5vFmJRkBXre/fOGenliu+2devrli2gUf9rsIeJzGhZVM8BxAW0joGyrQVslmiDSUQ0uX55J133xfubVKrlDi0QNRgy0rY9SmP8spY7eS3UzU4MkLzaDEoQmiQY/um8evZQskMwXD5vPfyaHeDjr9bl6+Vd+KcHI5zfTqOqfGzBEHrREultDXc1hO5fC4HARNiCODMfOVNkqezTlXXj8WpSTrX0h89/oSQsCpMXPEQRNJvcVhKZWjx4DpyLWw4/A9JQ5NYEQjXMykHgcNh0Pwuv0Rvne9vgv+hWuLADxxuMdIs25jsNOvu+ewuFbucTBqLtSddBvQ3BRLZPC4HEQC5oQ8To1F8LgcPH91sa7nf+/GEvcMhQ3dPW0zG41w+i4kltbM6YeB8sgYIew1tluJQxNsNDfp5zmYLQ5QvtFfX0wxtbJ73uH5q0v0hrwc6TO++kRjsNNnQKggW915ywwiAf33HI9Vwo9mCZzP7eTU/gjfubr7BpCZfJGXb63y6IFuEywro3kOeo7QSOcKrOeLdJvkObicDjr9xvRPNYsShyYwYr7SRpLRnFABwA8cLXsBz13eeUUopeSFa0s8fqjbtBsSlMVhPqlvI5wZI5g3E614DnqOlI7FM6YVLmg8cbiHi7OJakJ/O8zON0BZvCIBt669Dlp3tJkLCbsN31Pi0ARGiIO2Qu4Lm3fjOtTbwVCnj+cuL+z4vCvzayyuZXnikHkhJYDBrnIj3LyOO8ItmTQ6QyMS9JAtlFjP69fcNJtYN6WMdTNaOPGFazt7D89enMPjdPC4ieFHKDfC6ellbjTAmSgOAY+txnYrcWgCrX5dz3DBbCJDd9CDz21OohTKSd83Henl+WuLO67Ov35xDoA3HjH7gtc/lmxmHBk2QpBLOl30Ukrm4lnTxeG+4U66Am6erZwLtZBS8rULczxxuJsOr8tE6yohSB3DSksVD8mssBJUiheU59De+NxOgh6n7p6D2Rc8wFuO9ZLMFHjxxvaJ6b95dZaH9nUx1GVeyAtgqBJi0yspvZ4rsp4vmlbGCvoXLyyncuSKJQZNDis5HYIfuXeAr1+YYz1X2wu6NJfk1nKaH7pnwFTboLyQ0NVzWDPfczCieKEVlDg0id4lijOrxu4Atx0/eLyPkNfF516ervn49YU1Lswm+NH7h0y2bMNz0OuiX0pVVoNmeg5BfbukZ6tj3c0VaoAfu3+IVK7INy7N13z86XNzCAFPnugz2bLypkdLqRwZncJ31bCSyQuJlbS++alWUOLQJHonj2IJazwHn9vJu+4f5KvnZknVaHL6ymuzALzzPvNXg2Gfi6DHqdu+DsvVOLKJoQKd5yuZtedHLR492E1vyMtfvzqz5TEpJV84M83r90cNHxxZC+3voe2t3SpLa1kCHicBj3nhsWjAQ74oSerc6d0sShyaRM/5Suu5IqvpvKmVSpv5e68bIZ0r8tS52G3HiyXJZ09P8ciBqCW2CSEY7NIv0Vidz29yBQroV/Y8mzC/5FnD6RD82P1DPHtxnvk74vvPX13ixmKK9z8yarpdsKlLWqe8w5JJ+4xvxsgR782gxKFJ9PQctBPa7PJEjVP7IxzsDfLH375+29z+r7w2y63lND/7xJgldkH5op/RLaxkfhw57HPjdAjdLvhYfB2nQ5jWuXsnH3h8P4VSiT/+9vXqMSklv/eNK/SGvLzzvkFL7NKuHb2KFxbXsqYmo2HjvLRLI5wShyaJ6rh5vJmD1GohhOBDTx5hPJbkM9+fBMrjPH77qXGO9Yd4+0nzQ0oa5UY4vcJK5ZCDmStCh0MQ0XGXr1g8S3/Ia/hmS9uxvzvIjz88wqdemOBiZYe4L706w3evL/OLbzlkarXdZvTOTy2ncvTscc/B3Hqzu4hocGPzeK+rtQvCyjiyxo/dP8RnT0/ym399nkQmzzfG55mNZ/jzf/yoZTciKCde55NZ8sUS7hbHPy9V5iqZXWapZwgyZkGPw518+EeO8+0rC/zMJ1/kXfcN8ucv3uLhfV389BvGLLMp5HPT4XXp1gi3tJYzfJ/0OzFyW9lmUJ5Dk1QTjTp4D2YPUquFwyH4bz/5MPcPd/LRr45zdirOx37ifh49aN4YhFoMdfqQUp/RCEsmz1XSiAQ9uvU5zFpU8ryZng4vn/7ZR+jp8PKpFyZ4/FA3n/jA6y1dRIB+5axSSpZSWVM76WEjF2YXcVCeQ5NsLlFs9WKNxTN0Bdym7Di1E9Ggh//1T97AxFKa7g4PYZ85g9N2YnO4YCQSaOm1li1IMgL0dni5GEu0/DpSSmLxDG85an6p6J0cHwjz1Q+9SRePTi8GO3265BwSmQL5oqTHxMIFgKDHicfpsM0IDUs+VSHE3xdCnBdClIQQp+547DeEEFeFEJeEED9shX31oGeJ4qwFs3K2QwjBgZ6gLYQBqDbe6ZGUXkrlTE8yAvR0eFjUYQRIIlMgnSsy0GlNMroWdhEG0MSh9fNk2YIeByhfe5GgfYbvWfXJngN+HHhu80EhxEng/cA9wDuAPxBCWLuc3gY95yvFEtY0wLUDGxu5tL4iXFrLmlqppNHT4SWRaX3z+JgNwo92ZrDTz8JallyhtUGN1dEZJoeVAKJBr23CSpaIg5TyopTyUo2H3gN8RkqZlVLeAK4Cj5hrXX1o4rC0y5TKephdzVjS8doOaIlGPUZoWBVW0ryVVvMOMxZXtdmdQZ3yU4sWTGTViAbdqpR1G4aByU3fT1WObUEI8UEhxGkhxOmFhZ2nihpBJODB6RDVE6lZMvkiS6mcuuB3QI9YciZfJJ0rWiIOWux6t3HXu1H1HEyecdUuaH+XVkNLG2NWrAhBels+T/TCMHEQQnxdCHGuxr/36PH6UsqPSylPSSlP9fb26vGSDeFwCLqDnpY/SK3d3+oKFDujRxWKthozO8kI0BMq32RaPVdmV9cRAvpC9sk52Ikhnab4amOzrSpeWEzaY76SYdVKUsq3NfFj08Dm/vuRyjFb0tPhZaHFRKPVDXDtwFCnn/FYsqXX0MJ/ZpcnQvmCB1r2MmfjGfpCXlslge2Efp5DjrDPhcdl/t+5N+RlPV8klSua3o9zJ3Y7y74EvF8I4RVCHACOAC9abNO29IRadwFjFs7KaRcGOn0stpho1D6nXgtW3T0d+ngOsURGJaN3oMPrIuR1MbvamuewuJa1bDyJdn62uujUA6tKWd8nhJgC3gB8WQjxNICU8jzwWeAC8BTwi1JK/bbQ0pneDq8uq0GwZgRzuzDU1XqiUbvYrBAHv6e8/8dissWEtEVj3duJwa7WZ3EtrVlTuAD6LST0wKpqpb+SUo5IKb1Syn4p5Q9veuwjUspDUspjUsqvWmFfvfSEPCwksy3FB2PxDCGvy3IX0s5oq+VWJm5q4mBFzgFa9zKllMzGleewG4Od/tZzDhZVtYHyHO4aeju85IolEpnm56/Pxq2flWN3tNXyTAvhgvlklk6/u+U5WM3SahWK1gCnPIedGepqvXhhPpmxxMMEJQ53DXq4gHaYlWN39Eg0LiSzll3wQMuVbRtlrOpc2YmBsJ/FtVzTDYe5QomVdN6SDYugXCLvEHs4rHS3oIfKz6xmGFZ16zuiJRpbWREuJLPVqiErKIeVms85qAa4+tDEs9lzZaFyU+4LW3OuOB2Cbh2qIPVAiUMLtOo5ZPJFFtey1flBiu0Z7PK1FFZaWLPWc+jp8LKSzlEoNldxpUZn1MdQ5e/TbEe9tsOdlb0kvUoc2p9q52uTH6R2wStx2J2BTn/LCWkrxaG3w4OUzc/iml1dx6Ea4Hal6jkkmltIaDdlq8JKUI5IqLBSm6ON0Fho8oPUVsJDKo68K0OdvqZXg6lsOZlrqThUbjbzTS4kyg1wPlyqAW5HNooXmvQcktaGlUCf5lo9UGdaC1RHaDRZvz5dEQeVc9idwU5/041w1R4HC3MO/ZWbzXyyuZuWKlyoj4DHRaff3XQ563wyixDm7jN+J72V/JTVIzSUOLRIKyWK2upGXfS7o60Im2mEW7CwO1qjP6zZ36znsK48zDoZ7PQx26TnsJDM0B30Wuqh9YYqJfLrzZfI64EShxbpDXmbDhXMrK7TG/JaVnvfTmix5GaS0lZ2R2to792MuGkNcANh5WHWw1CXv+ku6flE1vK8jnauNOtl6oUShxYZCPuaTpTOxNdVMrpOqpv+NOM5VJOM1l30bqeDng5PU56D1gCnPIf6KE/xbT6sZOUiAqC/8v6tFGDogRKHFumvDIXLN1GiOL26zrC64OtioIUSxYVkFqdDVLd2tYq+kK9aKtkIWvxchR/rY6jTx0o6z3qu8Ua4+WTGcs+hOi5Ghy1PW0GJQ4sMhMtD4RrNO0gpmVldr9ZlK3amw+si5HM1tSKcS2To6fDgcAgDLKuf/rCXuSZCBVPL5d95JBLQ26S7Eu3m2mhSuliSLK7lLK1Ugo1KKSUObY622XujH+RKOk8mX1JhpQYY6mwulhxL2GMb1v6wr6mwkqpqawwtP9XouJXlVI5iSVra4wDgczuJBNwqrNTuaCdSo4nGjR4HdcHXS7M7ws3GMwyGrQ/J9IXLIchGu6SnVtJ4XQ7LJsq2G4PVEGRjnoOWALY6rATaQkKJQ1ujxYEbvWlpq8GRiBKHehnqam4v6ZhNegT6w95KCLKxvpiplXVGIn6EsDYs1i5oxQvTDYqDdjPus8FCorxvuhKHtiYa8OB2CmINhguU59A45Ua4xiZuJjN51rIFWwys62/Sy5xeXWdY5Rvqxud20h/2MrncmDhoxQ52CN8NdCrPoe1xOAR9ocY/yJnVdXxuB5GA2yDL7j601f9cvH4h3hh1bf0Fv9EI19i5onkOivoZjQSYXEk39DMzq+u4HMLyUlYonyuLa7mWtsZtFSUOOtBMLHx6tdzjoEIF9VOduNlAaGm2Os3UBp5DpQplroGmyXSuwHIqZ4vVbDsxGg0wtdyYOMzGM/SHfTgtrmqDchUktLY1bqsocdCBgSaSR9NqH4eGaSa/oz13wAZx5O4OL06HaKgcd3pF5aaaYTTiZzaRaWjlXV6wWX+ewCYvWYlDe9NMZcH0iupxaJTqxM0mPId+G4iD0yEYCPuqN/x6mFpRPQ7NMBINIGVjFUuzNppYMNDCRAC9UOKgAwOdXlK5IslMvq7np3MFFtey7OtWF3wjBL0uwr7GdoSLJdbp6fDicdnjVB+J+BuqopmqxM2V59AYoxUxrTfvUCpJYvGMbTZT0jxdKxvh7HHFtDkD1Y7M+j7Im0vlE3ZfVIlDowx1+RsaoTEbz9gi36AxHPFXvYF6mFpZx+N0WDpuvB0ZjZavyXorlsojcKRtxtl0+t343c6m96XQAyUOOqDlDqbqXKVo4rBfeQ4NM9zlr/vvDPbpcdAY6fIzl8jUPYtrYinFaNRv+eiPdmOw04/LIer2HGZstg2rEIKRSGPnut4ocdABbZVS74rw1nIKgP3RoGE23a3s7w5ycyld90YoM6vrtvIcRiIBSrL+cMHNpTQHetR50ihOh2A44meyzoolLTcxaBPPAcqRhVsNVlzpiRIHHejt8OJ1Oeo+EW8upen0u+lUPQ4Nc6AnwHq+WNeMovh6nkSmYKuqsOFI/QuJUkkysZRif7cSh2Yo9zrUt2CbseH8qtFogKmVdct2hFPioAOaC1hvfPPWcpoxFVJqCu1GObGU2vW5mljbKXzXSAhyLpkhky8xpjyHphjrCXBjYa2um+vMaga/20mn3z4LttFogLVsgZV0fYUuemOJOAghPiaEGBdCnBVC/JUQomvTY78hhLgqhLgkhPhhK+xrhtFo/R2ZN5fS7FOrwabQQiwTi7uLw0bi3z5/68EuH0LUN/dnYrFs/wF1rjTFwZ4OEpkCS6ndZ1lNrqRtN79qNKIl1a0JLVnlOTwD3CulvB+4DPwGgBDiJPB+4B7gHcAfCCHaYg/N0Uigrg8xXywxvbrOflWp1BRDXX48Tgc36vAcblZyO3YqGfa6nPSFvHX1OmjekZ08n3biYG9ZVK/Nr+363InFlO08NO28tSrvYIk4SCm/JqXUds/+LjBS+fo9wGeklFkp5Q3gKvCIFTY2ymjUTyJTIL6+sws4s7pOsSRtdcNqJ5wOwWjUX5fncGspTU+Hhw6vywTL6me4q75eh4nFFB6nwzaNWe3God4OAK7vcq6USpKby/ZL/Dfaq6E3dsg5/Czw1crXw8DkpsemKse2IIT4oBDitBDi9MLCgsEm7o7WwbpbLHlCK2NVnkPTHOgJVkMuO3FrOc2oDf/OI3UOhZtYSrGvO2CLWT/tyFCXH4/LwfWFnT2Hmfg6uUKJMZuF74JeF9Gg5+4LKwkhvi6EOFfj33s2PedfAwXgzxp9fSnlx6WUp6SUp3p7e/U0vSmqKr9LUvrKXBKAw30dhtt0tzLWHWRiKUWptHOi8eZS2pYiPNYTZHplnUx+59HjE4uqcKEVnA7BwZ4g1xd29hy0hcZYj/3+1qPRQMOjx/XCMH9bSvm2nR4XQvwj4EeBJ+VGOcE0MLrpaSOVY7Zno9dhZ5W/MrdGd9BDt+p4bZqxniDZQonZxPbDC3OFErPxdfZ1j9R83EoO93VQkmXP4PhAuOZzCsUSE0sp3ny0x2Tr7i4O9ga5MJPY8Tk3FsuexcEe+y3YRiN+zk7FLXlvq6qV3gH8K+DdUsrNd9MvAe8XQniFEAeAI8CLVtjYKJ1+N2Gfixu7xDcvzyc50m+/k7CdONofAuByxQurxdRKmpK0Z/jucCUWfnWHROnEUppsobSteCjq42BPB5Mr6ztOZ72xmMZf2SDIbhzsCTK1kt7VyzQCq3IOvweEgGeEEGeEEH8EIKU8D3wWuAA8BfyilNL8v0oTCCE42h/iytz2F7yUkqtza9Wbm6I5jg2U/34XZ7dfEd60YY+DxsHeIELsLA7jsfLvdnxQnSutcLA3SLEkublDdVu50TBgqzJWjWMDYUpy53PFKCwp45BSHt7hsY8AHzHRHN04OhDiy2dnkVLWPNFm4xmS2QJHlDi0RKffzXCXn/HZ7T0HLc5st/JEKG9jORLxc22HWPj4bBKnQ6jcVItonteF2cS2193EYqq64LAbml2XYknuHe409b3tUK1013C0r4P4ep6FbXb60sIgR9UF3zInBkM7eg5X5pJ0Bz302DS3c7i3Y1fP4VBvEK+rLdp8bMuR/g48LgevbRO3zxdLTK6kbbmIABjrDuBxObi0QwjVKJQ46MhRTeW3+SC1kJMKK7XOicEw1xdT28ZiL83ZO7dzuK+D6wtrFLepuLo4m1T5Bh1wOx2cGAhxbqa2OFxbWCNflBy3qefgcjo43NvBeEyJQ1tzrH/DBazFpbkkPR1eIkGPmWbdlRwfCFMsyZqrbyklV+bWqp+HHTnc10G2UKrZKZ3I5JleXVf5Bp24d7iT89OJmqXPmvd5YtC+Qnx8IMSl2M4VV0agxEFHuju89HR4tq2iOTcd595h+56E7cSJyo3zQo3Q0uTyOmvZAsdsvPI+3Le9l6ktLk7Y2P524r7hTpLZQrVIYTMXZhJ4XA4O2jSsBOW8w1wiy2p69xlReqLEQWeO9IW4VKNiKZUtcHkuyf0jXeYbdReyvztIwOPk/PTWcMGrU6sA3D9ibgKvEU4OhnE6BGcrtm7m1cnysXuGlDjogZbIfa3GuXJuOsHxgRAup31vhVpSulZo6Vc/+ypfenXGkPe171+kTTk+GOJyLLllp69z03FKEh4cte8Nq51wOgQPjnbx0q2VLY+dnVrF43LYtgIFwO9xcqw/xJmKEGzm9MQKo1E/fWH7bDzTzhztD+FxOnjtDiEuFEucmVzl4X0Rawyrk/sq4vbKrdXbjs8lMnzu5SlmG9iTvBGUOOjMw/sirOeLWyppTt8s38QeHLX3idhOnBqLcmEmwVq2cNvxV26tcnIwjNvGq0GAB0a7eHVy9bZYuJSSl26tcGp/1ELL7i48LgcPjnbx3evLtx2/OJtkPV/kdfvtfU12d3g51BvkxRtLtx3/7vXy948fMqaL3t5XTxtyaqx8op2euH1F+8K1RU4MhomqZLRuPDIWpSS57aJJ5wqcmVzlsYPdFlpWH48eiJLIFDi/abzD5bk1FpJZHj2gxEFPnjjcw7mZOCub9nb4XuW8sbs4ADxyIMrpiRUKmyISL1xdIuxzcdKg8KMSB50Z7PQzGvXzwrXF6rFMvsjpiRXe0AY3rHbi1FiEgMfJ347PV4+9eGOZQknyxGH7/62fOFxe8T13ZWOq8DculX+Xtxzrs8Smu5U3He1BSvjm5Y1z5esX5zjWH2qLkeg/cLSXZLbAizfK3k+hWOLrF+d489Few6b2KnEwgCeP9/PtK4ukc+VwxzcvzZMtlHjrcXXB64nP7eSNh3v4+oX5ar/A0+fn8LudbRGW6Q15uWcozNPnY9VjX31tlpODYQY6Vb5BTx4c6WK4y8+XzpSTt4trWb4/scKTJ9rjmnzz0V58bgdfOTcLwN9dX2IpleNd9w0a9p5KHAzg7Sf7yRZKPHNhDoAvnpmhO+jhsYP2v2G1G+99aJhYIsM3L82TyRf58tkZ3nHvAH5Pe3QWv++hYc5OxRmPJTg/E+fVqTh//5T9Jsm2Ow6H4H0PDfOtywtcmUvyp9+9SbEk+fGH2+NvHfC4eOe9g3z+5WmWUzk+/tx1ejo8/KCBC057bZF1l/DYwW4O9AT5429f53BfB0+dj/ELbz5k63K5duXtJ/sZCPv42NOXeObCHIlMgZ96dJ/VZtXN+x4a5r98/Qq/8fnXyBdLhLwu3vdQzf2tFC3ys288wKdemOAffuJ7rKTyvO1Ef1vNrvqnbznEF1+d4U2//bekckX+9TtP4HMbtwhSdysDcDoEv/y2I5ybTvCu//odOv1uPvjmg1abdVfidjr4yPvuZTyW5DPfn+THHx7m9WPt46F1d3j5N+86wZnJVc7PJPjNd99DV0AVLRhBNOjhv/3kQ0gJJ4fC/Pbfu89qkxriSH+I333/g4xGA/zcGw/wc288YOj7iY19dtqXU6dOydOnT1ttxhY+8+Itvj+xwj9+0wFbt+ffDZyfiTO7muGtx/twtOG2mtcX1nAIYdsBcIq7EyHES1LKUzUfU+KgUCgUe5OdxEGFlRQKhUKxBSUOCoVCodiCEgeFQqFQbEGJg0KhUCi2oMRBoVAoFFtQ4qBQKBSKLShxUCgUCsUWlDgoFAqFYgt3RROcEGIBuNnkj/cAi7s+6+5C/c57A/U77w1a+Z33Syl7az1wV4hDKwghTm/XIXi3on7nvYH6nfcGRv3OKqykUCgUii0ocVAoFArFFpQ4wMetNsAC1O+8N1C/897AkN95z+ccFAqFQrEV5TkoFAqFYgtKHBQKhUKxhT0tDkKIdwghLgkhrgohPmy1PUYjhBgVQnxDCHFBCHFeCPEhq20yCyGEUwjxihDib6y2xQyEEF1CiL8UQowLIS4KId5gtU1GI4T4Pyvn9TkhxF8IIXxW26Q3QohPCiHmhRDnNh2LCiGeEUJcqfwf0eO99qw4CCGcwO8DPwKcBH5SCHHSWqsMpwD8qpTyJPAY8It74HfW+BBw0WojTOR3gaeklMeBB7jLf3chxDDwS8ApKeW9gBN4v7VWGcKngHfccezDwLNSyiPAs5XvW2bPigPwCHBVSnldSpkDPgO8x2KbDEVKOSulfLnydZLyDWPYWquMRwgxArwL+O9W22IGQohO4M3AJwCklDkp5aqlRpmDC/ALIVxAAJix2B7dkVI+Byzfcfg9wKcrX38aeK8e77WXxWEYmNz0/RR74EapIYQYAx4CvmexKWbwX4B/BZQstsMsDgALwJ9UQmn/XQgRtNooI5FSTgP/CbgFzAJxKeXXrLXKNPqllLOVr2NAvx4vupfFYc8ihOgAPgf8spQyYbU9RiKE+FFgXkr5ktW2mIgLeBj4QynlQ0AKnUINdqUSZ38PZWEcAoJCiH9orVXmI8u9Cbr0J+xlcZgGRjd9P1I5dlcjhHBTFoY/k1J+3mp7TOAJ4N1CiAnKocO3CiH+1FqTDGcKmJJSal7hX1IWi7uZtwE3pJQLUso88HngcYttMos5IcQgQOX/eT1edC+Lw/eBI0KIA0IID+Xk1ZcstslQhBCCchz6opTyd6y2xwyklL8hpRyRUo5R/oz/Vkp5V68opZQxYFIIcaxy6EnggoUmmcEt4DEhRKBynj/JXZ6E38SXgA9Uvv4A8EU9XtSlx4u0I1LKghDinwNPU65s+KSU8rzFZhnNE8BPA68JIc5Ujv1fUsqvWGeSwiD+BfBnlYXPdeD/sNgeQ5FSfk8I8ZfAy5Sr8l7hLhylIYT4C+AtQI8QYgr4d8BHgc8KIX6O8tYF/0CX91LjMxQKhUJxJ3s5rKRQKBSKbVDioFAoFIotKHFQKBQKxRaUOCgUCoViC0ocFAqFQrEFJQ4KRRNUpp7+szuOfbUyx0mhaHuUOCgUzdEFVMVBCOEHuqWUU5ZZpFDoiBIHhaI5PgocEkKcEUJ8jHJj0jcBhBATQojfqjx2WgjxsBDiaSHENSHEP6k8Z1AI8VzlOeeEEG+y7DdRKGqwZzukFYoW+TBwr5TyQQAhxH8FvrDp8VtSygeFEP+Z8gz+JwAfcA74I+CngKellB+p7C0SMM90hWJ3lDgoFPrwBPAvN32vzel6Deio7J+RFEJkhRBdlGd7fbIyCPELUsozZhqrUOyGCispFC0ihDgITFY2jdLIVv4vbfpa+95V2bTlzZQnAX9KCPEzphirUNSJEgeFojmSQKjy9Y8ATzXyw0KI/cCclPKPKe9Qd7eP1Fa0GSqspFA0gZRySQjxfGWj91ng5xt8ibcAvyaEyANrgPIcFLZCTWVVKFpACOEFnpdSnrLaFoVCT5Q4KBQKhWILKuegUCgUii0ocVAoFArFFpQ4KBQKhWILShwUCoVCsQUlDgqFQqHYghIHhUKhUGzh/we7mNv/N7pXVwAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 432x288 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "aly.autocorr(variating_tone).plot(0, 10, xlabel=\"t/ms\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 432x288 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "aly.autocorr(variating_tone[0.0:0.5]).plot(0, 10, xlabel=\"t/ms\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 432x288 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "aly.autocorr(variating_tone[1.0:1.5]).plot(0, 10, xlabel=\"t/ms\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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QRI6LyPH5+eA876mhXqvSEtO5NfYNb+/hTg710lCOB20D07kiY5kk6eTWwfDUkHPz2RL1XWxTKUwN9RKPiTWGb361TL2hmNpGbhFh30jaKkU8s1xi91WTbDfCkdsOgw2Ok9ROdmD3UC+VWsPKGWSbYbUBEZEk8G7gzzd4+ingoFLqLuC/An+10XsopR5SSh1TSh2bmJgITLbdQ70s5MtWjNdYr/JoLwIBixTxUqktr3JyyGnAmrUk6vOch6ltFFoiHmNyIGWNs+FFzVOD2yvi/aP2NBMq5ewjtSP3vpE+q3pB2s8OOK+xZa20g9UGBHgn8JRSavbqJ5RSK0qpvPv1I0CPiIxf/TpdTA31ohTMrZr/Yy8Vq5SqjW29SoDJQbsMyNxKqSnTVoxnUiRiYk3acHalxEAqseEwwqvZNdhrjeHz/u7tePJ7h/usGR+zslZjrVpvMwKxqxdkOldsKztgm3PXDrYbkB9mk/SViOwWt61TRO7D+SyLYQm226KUyqxrxCYHNx6T0Ip3boUtinhmpdSW3LGYsGsgxawF1xucv/tkG8oMnGtuzfVedgxCO4p412Avq6WaFRMXLq84cnte+lbsHbanAEApxcWl9vZuPANy2ZK10g7WGhARyQDfAXyy5bGfFJGfdL99L3BSRJ4Gfgt4nwpx96n5x7ZAoc2uOPsZ7Xjyo5kkyXjMCsNXqtZZKlavOYxpM2wqXJhdLXUktzURyEqZnrgwmt6+ks37fN76MsnlDiKn3W6604bswPKamx1oQ+6xfifKvmxJ1NcOVpbxAiilCsDYVY99uOXr3wZ+O2y5PHZbFG56ymlyYPtFKiJMDqWsUMTzq45i2tWBIn7RkhMVZ5dLvPFIexnTyRZPfrtiAd3MLK8xOdhLLLbxTKZWJpsGpMTh8c27v8Ngps09J1hfTzYY7U6cu3hMmBzstUKntIu1EYjtDKQSZJJxKyKQdUW8fSoIYGqwzwq5PSPWric/OdhrRQqr0VDMrZabnu52eCk6GxTDzEonkZM9hQuXl0vEhE3PumllIJWgryduReTUdO7avOa2VXduR2RAfCIibkrFfLg5u1JiqK9nywarViYtSal0enPtHuylUKmzang+00KhTK2h2lfEFu07tVsKC3Z58peX1pgYSG14DsjViAiTgykr5F5f4+05GzaladshMiBdMDVkhyc/2+ZGtIfn5ZhuWPI88k5uLjCv0GaX209LAM3N9jnDHrFSqqMIxCZPfmal1CxcaYddg73GrzfA3Gpna8W5N9eM35vtEhmQLrAlXzm7Um57gYIjd6XWYMnwWd1zq2VSiRhDfVs3WHmslyCbVQzN1FubnvykJRGIt6HbrtzrUbb5Nd5uD4jH7sHeZnWiSTrNDuwe6qNUNX9vtktkQLpg12CKhXzZuLcwt1JiVxsb6B6eB2o6eppZdnpANjtk52psSQXNdJh6608l6E8ljDsbnRo+cM4Zn7PAgMwsl5ga7sRJclJYpu9NP9kBMH9vtktkQLpgvD9Fta5YXjPnLXgbup0sUu+1pj20Tm8ue1JYJeIxYXyT40k3woacfCeVTB42RCCFco18udZxlF2qNlgpme1h6TQ70KzutGBvtR0iA9IFXkWIVwVlgmyxQq2hOlqkntwLBuUGz4C0L3dvT5yhvh4rPPmJ/hTxNkphPWzoBfF+fyfR6uRgL7MrZqNs7/7a7DzxjfAKAExHT51mB7zPuLC6M+ZhRQakC7w/tsnBhJ1WeQBNz3khb26RKqU69s7AMX4LhgdBdho5wboiNon3926nFNZj10CKSq1hNMr27q9O5J4c8EqQzV1zP9mBplNqybDT7YgMSBdMDDjdvCYjkLkOm/EAMqkE6WTcqNyrZWe20a4OlALAeH/SqNzg/L07UWbgeP3zq+Y9+YHeRNsbutCaUjHnyTcjkE4MiAUlyH6yA709cQZ6E8bXeLtEBqQLJvqdhWHSk59rpiU6VcRmPfkFH0rBeX2v8QhkIV/pWO7x/iSVeoOVNXM5+fl8uaM0ELQqYnPX3I8B2WXBPp+f7AA4nzMyIDcAg30JkvGY0T+2Z7w62dB1Xp80a0C6ktucwa43FNlCuWO5bUhNzK+WGffhaIDZ/bKFfJmYwEgb87s80skEA70Jo5MLOm2U9ZjojwzIDYGIGE+pzK+WGUh1lpYA816OZ7w6NyAp8uUaa5W6DrG2JVes0FD+5AYMG+3OI5Dx/mTzZ00xv1pmrMOiBfD2y0xmB/xG2eb3+dolMiBdYvqPvViodOxVggUpLM+ADHR2vvmEYUXcjeFr/XkTzK+WmwahXfpTCVKJmHG5OzV84FxzkxHfYsFflG3aueuEyIB0ybjhcHNhtcxYpjOlAM4izRWrVA2d2raQryBCW2PFW/EMjinF4JVXdqqIm568obVSqtZZLdU69oadKNusJz+f77xoARxnw7Th85sdWDUYZXdCZEC6xHwE0nk+Hta9okVDimEhX2YknSTRxnC8VpqFC4YU8Xrk1Nk1H0knicfEmCL2Gzk5P2N4v2zV3xof608aW9/gXHM/2QHTUXYnRAakS8b7UywWKtQbZsozF/IVxjr0hsF8SmXBRzoF1iOQnaaIYzFhNGNOEfvpAfEwGYEopXxHIOP9KZbXqlRqZqLsxXzF1xr3PuvcDkhjWWtAROSsiDwrIidE5PgGz4uI/JaInBKRZ0TkXhNyTgykqDcUuWL4N1it3iBXrPjyzkxXBS3kfXqVGbPd//P5Msl4jMHezg+GMrnv5F0vv9GqKbmX16pU68q3AQEnSjfBQr7cXK+d4Mm9E/ZBrDUgLvcrpe5WSh3b4Ll3Akfdfw8CvxuqZC7NsSAGbrBssYJSnefjoaWL3tAiXSz4M3xJd3qvucjJ8SrbHQDZynh/knnDkZMvRTyQJFuo0DAQZfvpAfHwInOTadpOi0RgvadrJ3Sj225AtuI9wP9QDl8HhkVkKmwhTHoL3o0x5serHDBbnrmwWvaVegOzOXm/eW1wN3VNRU7u7/Wb7qw3FEsGxpmsR07+07QmFLGTHaj6cpJGM0lEogikWxTwORF5UkQe3OD5vcCFlu+n3ceuQEQeFJHjInJ8fn4+cCFH3QqobCF8L6ebjdF00jmS18QiXavUKVTqvuQGs4ULfnopPMYHzI3/X8iXGerrIZXorCII1h0UE9fcU/6dTlqA1sGEBrIDBf/OXSIeY8zgflkn2GxA3qyUuhcnVfUBEXmrnzdRSj2klDqmlDo2MTERrITQLKE1aUB8e/IDKSPhfTOd4lcRG9zUnfdZEQSOF12uNciXwx9n4qcHxMNkCXIzyvaxlzDWb67gojkA0vc13xm9INYaEKXURff/OeBTwH1XveQisL/l+33uY6Ey1NdDTMwYkEWf40A8RtJJs5GTj/wwmLu5Gg3lNm76lxvMKDSnIsh/6g3MpIJyxQoxoe1TK1vJuEfyLhqQu9t7czRj5t7sFCsNiIhkRGTA+xr4TuDkVS97GPhRtxrrDcCyUupyyKISiwkj6WSz6zRMuqkIAid6MmNA/HuV4HjE+XKNci3cRqvltSr1huoiAjFbcOF/z8mc4csWKoykk8Q6HGPiMT5gJhXUTXoZdo4B8ad59DMJfMqtdEkA/59S6lER+UkApdSHgUeAdwGngCLwjw3J6vyxDXmVYz4rgsCR+7lLKwFLtT1+m/E8Rty0Ya5QZfdQ5zl9v3hOwqiPzn9obd404MkXKgx32PXvMdTXQyImZuQuVpp/bz+MZcykO7tNL49lkkaud6dYaUCUUmeAuzZ4/MMtXyvgA2HKtRmjmSRZA30gC3n/lUywLrdSyrcR8kNzg9GnYvB+brFQ7uh8727xen38GpDRptzhrpWG26fU6dgYj1hMGDNU+ZYt+JcbHKM9nSsGKFF7LOYrpBIx+lP+VOxoJsVKqUa13qCnw2kNYWKvZDsIU+HmYr7iOw0EjtyVWoNCyDN3soUK6WS84xlBHt5Y71wh3LLSnPs37mSseCsjmZ4r3icsVkpVGoquPXkTBRe5QrV53fwwMWBm/P+82yjrOzvQ761xu9NYkQEJAFMGJFes+PaGYV2hhJ1+yxUrvpUwtDSIhdxh7EUgfhVxKhGnP5UIPQLJNlNv/hWxqSg72+UaH8ukyBbKoY8aWvA5xsRjzFC02imRAQmAsUySXDH8eVi5QpeK2DMgISuGXKHSlVe5HoGErYidiKeblMpoJhm63E3Dt8PkVkp1vcZHM0kaClZCboLMFSq+ekA8TPaXdUJkQAJgNJNEKadKJyzKNacZr1uvEiAbsiefLVa7UgrDaadTN+ybK1es0NsToy/pf+N+JBN+xV7T8HXhyY8akHu1XKPWUN1FIP1mPPlsQM5dFIHcAIwYUMRLRUcp+K2sgVYDEq53ttRlWiIeE4b7eowohW6iD1iPVsMkiAhkJJ1k1d3UDYtu95xaf9bENR9JB+DcWV6JFRmQAPA2ssPcZMx2WVLa+rOhRyBdemfgplRCVgpLXZaUgtu8GfaeUxBrxcCmbrBrPDy5S9U6xUq9q7ViKsrulMiABIC3SMNUaN7vGu7Cy+lPJUjGY6F68tV6g9VSrWsDYqIqKAjDN9Yf/mZ0tlghmYiR7iL15kVeYcrebdECmDEg3ZZ7gxNlm2pQ7oTIgASAifr+XAB5bRFhJNMTqle5fnP5N3zglMSGn5aoBhKBlKoNipXw5mHl3NRbN70+6ymVMCOQ7osWPIMfpgHJBpB6g53RjR4ZkADwKorCvLmairjrRZoKdZEGsXcD4csN3h5Id4bPxPDNbKHaVaQKLQYkzAjEU8RdOBt9yTh9PfFQnSRvjXfj3Hk/H0UgNwCpRJyBkOv7vRuie0XcY8Q76/7m6iFXrIZ2yFGt3mClFEAEYiil0u31NtEEmS1W6ImL725uj7A9+SD6bsDcrLpOiAxIQIyEvKmbLVacPYxEd3/CsD35ICprwJG73lCslMKpIFteq6JUMGkJCNmAFILZ/Iew07TOnlO3Y3bCboIMouoNohTWDUXYf+ylYvdpCXCHtoXqDQcV3rtpw5BkD2JDF8wYkGwXc7A8etypz2FXYXW7TiD8Jkjvb+tnBH0rphqUOyEyIAHhTM/ceTdX2PX9QVSPgROBQHiKOIgNXQjfgNQbiuW17lNv4JyuF66z0X3VG4S/l5ArVJwJxl0OQfQalJcMjJBpl8iABET4EYj/8dythF3f3+0gRY/RkKtrmpU1Xea1B3sTJGISmtxe6q3bzX+AkXS4lW9BOknh7t1Ug4mc+sN1kvwQGZCAaB2NHgZOWqJ7pTAacm47MK+yP1wDshRAbT94pdPh7ZetG74gPPlUqFMLnLLpANK0/UkKlTqlajhTp529m2DSy2D3OJPIgARE2KPRlwrBpCWaTZBhGZAuByl6hN3Ylg1oYxQc2cNKdwbR1ObhVOyFM7Wg3lDOyJsArnfY40yC3Lvx3s9WrDMgIrJfRL4oIs+LyHMi8tMbvOZtIrIsIifcf79oQtZWwmy0qtQarJa77+aG8IfNdTtI0cOr7w+r9yZXqNDX033qDcIdwxJUUxu4lYaFaihR9spa92eYeJgouAjk3twBEYiNJxLWgH+plHrKPRf9SRF5TCn1/FWv+4pS6nsMyLchrY1WB8bSWn/XUkAVQRC+d5YrVDgU0PUJc98pWwgmrw2O3C/MhHOUcBBzsDzGMkkq9Qb5co2B3u6jyK3IBho5hbuXEETfDZg7r6cTrItAlFKXlVJPuV+vAi8Ae81KtT1hDib0SmGDyLN67xFmSiUI7wzCre93zuYORmmGWVYaZOotzJMgg4ycwoxA1ip1StVGIM6dVzod9rDTTrDOgLQiIoeAe4BvbPD0G0XkaRH5GxF59Rbv8aCIHBeR4/Pz87pEDXUib7PTNYCbKxGPMZwOpxs9qEGKHmFGIEEavpFMkqW1aij1/blC92eYeHjpzjCMdlATCyDcA8jWDXYwzkbYpdOdYq0BEZF+4C+Bn1FKXR3vPwUcVErdBfxX4K82ex+l1ENKqWNKqWMTExPa5B12vRxvDo5OgkxhgWOIwlDEQQ1S9AjVgAQwiddjNN0TWn1/tlANxNGA1sGEIUTZAVaPhTkaPahJCx62d6NbaUBEpAfHePypUuqTVz+vlFpRSuXdrx8BekRkPGQxr2Ag5db3h6EUAkxLQHibup5xDczwhboHEkxeG8Kt7w/iDBOPMA8ga+6BBLDGvQPIdlrk5L1PLgSn1C/WGRBxBt/8AfCCUuo3NnnNbvd1iMh9OJ9jMTwpN5TJSU2EqIiDGGXivE84ijjIvDY4N1cxhPr+ar3BSpCptxCbILMBbehCyPt8AabewNt30q+Igxp54zEachNkp9hYhfUm4B8Bz4rICfexfwMcAFBKfRh4L/B/i0gNWAPep8Lq4NuCkZD2EoLq5vYYzfTw7MWdF963VpBNDfUF8p4bsT6eO7jUG4SXUtk/EkzVW38qQU9cwolAAky9gTfORL/hC3J/EhxD5DUodztUUgfWGRCl1FeBLa+UUuq3gd8OR6L2cUYmhODlBJiPB2+ScFX7Ig1qkKLHaHPEeFWzAQlmdL5HmAeQBZl6ExE3bRhGpWFwqTdw7s1zi8XA3m8zcoUKMYHBLgcpeoxmeqjUGhQrdTJdjrXXgXUprJ1MWHsJQZaUguMteYtUJ0ENUvQYDqmHJei8tvf5dac7g069gXume0hlvEFdbwjvKOFcscpwOkk8FowjZuJExU6IDEiADKfDMSBBdXN7hLVIg0+9hSN3UOc7ePT2xMkk49o3R4NOvTnvFWIEEvAazxX0z6rLFiuBOUjQMmrI0om8kQEJEO+UPN2LdCnAjVFY3/DTvUgDT72576Xbk88GcP781YyE0EwY9Iau915hlKoHHYGMZpLUGoqVNb1n0XvnzwfFSIjpTj9EBiRARtJJ95Q8vYs0G7Aibu4laFYMQY148PA8Pd0plaBTb+CmgkJKvQW6VkKQO+iGUwhvZE82gNMfW/GMka2VWJEBCZAwOl613ly6U1gBnaLo0ROPMdCbCCVyCjL1BiFFIBoMyEgmybLmLvqgG06d9wqniz4X0ARhj5EQK/b8EBmQAAkjX7nejBesNwwh7CUEnJaAcAoXsgHn48HpRtcf8QWfevO66JfX9MnuVTIGnXoDvelOpRS5gI5Z8BjsTRCPSbQHciMQxl5C0Bu64JQcxiSEPRANijiMJkgdhm84hAYxLam3EDzioHspWt9LZ7qzUKlTqTcCjZxEJLTKNz9EBiRARkLIyQc5ntsjHhPtFWQ6Um/geMS6N3WzxWC9SnD+fqvlGpWavrPos4UKmYBTb2FE2To2/4ebPUMa5daQMgS3OCdKYV3/hBEm6/AqwT3vWqfh05DXBrdTN4QIJKjpqh6hrJWAN3QhnHRn0H03EM6sOh3ZAe/9wjq2oFO2NSAiMikifyAif+N+f7uI/IR+0XYezUWq08vRkNcGr0FMpzILPq8Nbn3/Dky9NatrNEZPQc7B8mimaUPw5IN0ksKYVRfk+fOthHl+TKe0E4H8EfBZYI/7/cvAz2iSZ0cjoj8VpKM0E7xxJvq9syDz2qB/oKKXegveYOs/5CjovhsI5yz6bLFCfypBKhFc6g30H1sQ5Pnzrei+N7uhHQMyrpT6BNAAUErVAL0zL3YwTr5S7x5IUGdzt6L95mp6lUFvRus9h0VHPr71/bQ6GxoikL5knN6emNZ9Jyf1FvyRucOa07TNhlMNRjtXrNII4QCyTmnHgBREZAxQACLyBmBZq1Q7mGHN+cpcsRp4Ph7WO4x1ddEHecZ1K7pHo+d0KYUwNqMLwY688dDtbGSLwU7i9dBd8p0rVIjHhIHeYIcejmScBuVVzQ3Kfmjnk/4L4GHgiIh8DZjAGacesQGj6SSn5/Pa3j/oKaUeI+keKvUGhUqdfg1TP4M+w8RD92b0+sZosHJ710FXbrtSa5Av17Q5G7r3QLzjc4NEdyrI6RfqIRbQIEWP5pnuxQpDGv6e3bCtplBKPSUi3w7cgjNm/SWllJ1FyRYwkkmSO6e3miloLx6u3BzVYUCCHqToMaI5Jx/k0aqtpBLOQEVdJd9BH3vciu6qoGyhwtFd/YG/74jbvNloqMCVPOjZc4IrK98Oj2cCf/9u2FZTiMiPXvXQvSKCUup/aJJpR+MsUn0HwOQKFfYFdEBQK62poP2jwb+/tptL8xwvXak30OsR65Z7OqfvbA19UfZ6KkiHJx/0HCyP0RAq3/zSzh7I61r+vQX4EPBujTIBICLvEJGXROSUiHxwg+dTIvJn7vPfEJFDumVqh9GM3oGKuWKVUU1pCef99aWCtCgzzXO8dJSUeujMyeuq1gOneVPXHkipWqdYqWtZK7r3nZZ07U+GUPnml3ZSWP+s9XsRGQY+rksg93fEgd8BvgOYBp4QkYeVUs+3vOwngJxS6mYReR/wH4F/qFOudmgdMT4U0KlkHrV6g+W1auCVTLCe49fnEQffzQ3uQMVUQptCyxaqZJLxwEtKQe84k5yGEfQeI5kkK6UatXqDRDzYXmRdzXjQMoalWOEQwaeCssUK92aGA3/fnR6BXE0BOBy0IFdxH3BKKXVGKVXBMVjvueo17wE+6n79F8DbxYJDg72Uig6FtrSmTymsH86kqRxWQze3h84GsSVN6RRwPXnNKSwd5bDeWlnSMFBxvQtdnyevQxE7gxT1pGnTyTjJRGxnRiAi8j9xS3hxDM7twCd0CgXsBS60fD8NvH6z1yilaiKyDIwBC60vEpEHgQcBDhw4oEveJusRSPA3l86N0cFed6CixlSQjpsL3HEmGvdAdBhscA2fRoMNmjz5FkU83p8K9L2bEws0lR+Dnv2y1XKNWkNpWSsi4vSCWBiBtFNu82stX9eAc0qpaU3yBI5S6iHgIYBjx45p78TRecxqtnlzBe+dxWKibSxItd5gtRx8N7fHSLqHxfzOM3yj6fWBislEsKmgbKHCQG+CnoBTTKB3HpbezX99pdM6DTZ4M9/sK35tZw/k78IQ5CouAvtbvt/nPrbRa6ZFJAEMAYvhiLc5w00vR8Mi1ZgfBrdTV6vcelJYo+kkp+b09N5kixVumgi+pBRguKWHZddgb6DvratoAVor3zQqYg2y96cS9MT1DFTUMQCyFee4bPsikE3dExFZFZGVDf6tisiKZrmeAI6KyGERSQLvw2lmbOVh4P3u1+8F/lbpPoy8DXQeAKPz5gJn8evwKnUNUvTQvRmtowIL9M6VciYW6FsnoGe/zFt/wwEXoEDLrDoda1xjehlgNJPaWSkspdRAmIJc9btrIvJTOEMc48BHlFLPici/A44rpR4G/gD4YxE5BWRxjIxxdB4A0wzvdYXJ6STnFoOv79c1SNFjNNNDoVKnXKsHWi3ldXNru97NlErwa8XZn9C3TkBflD3U1xN4dZfHqKY0rc70MugtuOiGtluORWQX0IyzlVLntUi0/v6PAI9c9dgvtnxdAn5Qpwx+cc7W0FCFVaySSsToSwZfUgqOZ3niwlLg76trkKLH+jiTKpODwV0bnUULoFcRZwsVjk7qSb319sRJJ+Na1nhWw+mPrYxoGnaqOzvgnUWvo3S6G9o5D+TdIvIK8C3g74CzwN9olmtHo6vDWP/NlWx20QeJzo1R0Lepq1tunQUXuWJFW+QE+saZ5Ir6yr3BTdNqkjsREwY0jAECR27dZ9H7oR1T9svAG4CXlVKHgbcDX9cq1Q5HV5i8pOFgo1ZG0j1U64p8Odguep3d3KDPk89qllvXQEWvm1uXNwz6DjnKFqpanaThtJ6eIW/8iq5WtDBOgvRDOwakqpRaBGIiElNKfRE4plmuHc1IpkfbBqOOxjCP9fr+YGXPFauBn83dynqnbsBya+zmBmegYn8qEXhfgq6DjVoZTvdo6b3RWTYN+s7WyBb0Rnw6o9VuaMeALIlIP/AV4E9F5DdxutEjNmHE9XKCTgUtaaysAX2zgnKFirb9D2g53S9ouTVv/oOe0mmdc7A8dEQgSimtjZug72yNXKEajnNn2UZ6Owbkizg9Fj8NPAqcBr5Xp1A7ndFMklpDsRpwKiirO4XVMisoSHQrBc84LQWs0HRv/oOe0mndkRO4Z9EHLHexUqdSa2hNvelyNnSvcd2jhvzSjgFJAJ8DvgQMAH/mprQiNqHZTBjgDVZvKJbX9Awk9NA1KyinaZCiRzLhDlTUoBQGUonAu8RbGdGQk19PYendjF4t16jWG4G9Z7MZLwQnaadF2cOah536Zds7Qyn1b5VSrwY+AEwBfycin9cu2Q5mVMMZFctrVZRCyyh3D13Hw+ocpOgxnOkJfP5YrlBhWKMSBscj1pV6CyNaDVKh6W7Gg5Z5WAGu8UZDaa966+3xDiDbYQakhTlgBmdcyC494lwf6PDks5rrzAEG3C56HYpYpzIDPed06zqbuxXneNhgr3e2UEGEwI8TaGVUQ8GFzkm8Hjo2o1dKVRpK770J+o8S9kM7fSD/VES+BHwBZ9rtP1FKvUa3YDsZHRteSyF4lc5AxWA9Yt2DFD2GNZRO6xzl7jGaTpJ3ByoGRa5QYbBXXzc3tOwlBKjQwoicdKSCvEyDTsPnvL/eo4T90E7Xy37gZ5RSJzTLct0wosHLCaOyBoKfKxVGWgKcm+vMQrADFbOFCjdrGqTosd5FH9xAxWxRby8F6ElhZUPY/PcGKgaZXg7r3tRRuNAt7eyB/HxkPDpDx0DFdUWs2csJOBWU0zwjyMO5uTSk3nQrYg0DFcPYc9KRCsoVKsTEOZtGF96sukCdJM2TeD1sjEDsGapyHeEs0p5AvRzvvbR7OQGPjQ6jsgYcAxVkKqhUrVOo1PUbPg0nWOoeeQN6uui9MvVYTO/BokGXTmdDSL15769jjlc3RAZEEzq8nGQiRlrTIEWP0UwyYMOnv5cCrkwFBYFXSBBG6q319wVBTnO/EOjpog8j4gPH+AV6vUOLQBwnqVyra/09nRAZEE2MBJ0KcofM6T723dsDCaqL3rsGY5pGi3s0UyoBGZAwutBb33+nRSCgJ1rVfb0h+FRQtlghGdfv3I1ocDa6JTIgmhgJuC/BGTIX7PnTGzGaDraLXvcgRY/1lEow11z3eG6PoJtO1yp1ypq7uT20OEma9/hAT3ZgJKPfudPVp9UNkQHRROBeTqGsvUwQWqprAlqkXjd3kAc9bUTQc7zCymsnEzH6A+yi133oWCsjAZdO657E6zHqHlsQ1EBFJ+LT79wFfW8GgVUGRET+k4i8KCLPiMinRGR4k9edFZFnReSEiBwPWcy2CDoVpPOI0laC7qIPK68dtHe2HoGEYbSDi1bDipwg2M1or5s7jDU+nE7SUAQ2UHGxUGEspOsNeo5A9otVBgR4DLjDbVR8Gfj5LV57v1LqbqWUlaPlvVRQUGdrZENapEGnVBZD2xgNdhN9/YjSnZUKWu9J2FmpoNVSjXpDhRSBBDtQMSwnSdesum6wyoAopT6nlPI07teBfSbl6Yb1cLN7z7Jab2gfpOgRuCdfrGid3+XRTAUFtQdSrDDQm6AnhONDg0wFrY8DCUcRe2fRd8tioQzoL7aA4A9nCisCGW52/0eb6O3w42x+dK4CPiciT4rIg1u9iYg8KCLHReT4/Px84EJuxkiAIxOWivo7dD2C7jB2zknQLzd45ZnBKeIwog8INhW06FW9hZiTDyL9tm74QpA7wGi1UmuwWtI/qgegJx5jsDdh1URePQf4boE7yXf3Bk/9glLq0+5rfgGoAX+6ydu8WSl1UUR2AY+JyItKqS9v9EKl1EPAQwDHjh0L9oSnLQjybI0wTpjzCLqLPqzUGwRbuBBWKSx4I92D8SqzhTLxmDDQq//Wbo1WJ7scw+IZvrDKeCGYCKQ5oy7MNW5RCit0A6KUemCr50Xkx4DvAd6uNtmBVkpddP+fE5FPAfcBGxoQUwQ5Njqsbm5Y76IPIkxeq9RZq+o9m7uVIHPy2UKFqaFgZlNth9dFX67Vu65W8yIn3d3cEOx+WbMZL4wUVoBR9nrEF9IazwQ/NLQbrEphicg7gH8FvFspVdzkNRkRGfC+Br4TOBmelO2xPpE3uPB+pyniMEtKgUDHx4QagQSYClrMhxvxQTBRdpiKOJOMk4zHAnGSwtxzAj3HFnSDVQYE+G2cUw8fc0t0PwwgIntE5BH3NZPAV0XkaeCbwF8rpR41I+7meGdrBBmBhOnlBJJ6C9vwBXReglLKMSAheMMQbA9LTvPRqq14Jc5BrfF0Mk5vj95+IXCi7KD2y8I2ILadCRJ6CmsrlFI3b/L4JeBd7tdngLvClMsPQZ6tEcbZ3K2MpoMZjR624RtNO8esVmqNro6hzZdrVOqN0OQeDvBsjcVChdumBrt+n3ZYr2YKxpMPq2gBgttLCD0CsWwir20RyHXFcEDnXS8W9J/N3cpIJpg9kLBTb8NeKmitu2seZkWQ83uCK/kOa54UOFVBAwFVBWULlVBKeD2CKp1edE9/HNZ4+mMrI+kkpWqDYiWY/rJuiQyIRoLKV+aK4aVTYP3m6raLPszN/9bf060iDntjtFnN1KVCq9UbLIVwmFQrowFt6oa55wTBTZ3OFSoM9ek9/bGVUQ3j/7shMiAaGcn0BOZVhh3e1xuKlS5HPeSKzgFBOs/mbqWZk+9SoWXz4aYlml30XSoFTyGG6ckPB+QkhRk5gZM2DGrvJkzDNxKQkxQUkQHRSFBhcpgboxBco1WYJaUQ3KiHsPPaQQ1UDFtugNF0MCPdzUQg3Q9UXCyUQ4tUwb55WJEB0YhXs911KigfsgEJKEx2xnPvvJurmcIKM22Y6d4j9saBhLtWuj8lz+sXCjtN21CwUupO9lxIE4Q9bJvIGxkQjYymk1Tr3Q9UzBqKQLr1LBfz4acloPt+imyhTCoRoy+EklKP0XT3OXlPkYcbgXSfwmrOwTLgbHR7zRfDjpwsOxMkMiAaCUKhrVXqlKqN0PdAoPvyzLAOCPJIJeJkkvGub65socpYJqn9gKBWgugwzhqKQNaqdUpV/wMV1ycIh+9seNfMD94I+jCv92BfDzEJblZdt0QGRCNBzNwx4Z0Fdb54WAcEtRJEo1W2UA41nQLBjHRfNKCIg2iCDOvY41bG+50S7YW8f7nXR9CHU+4NEI9JYIULQRAZEI0EMXPHS0uEuZcwkEqQiElXi1Sp8L0zCKZwIawT5loJYnxM1i0pDWMEvcdIAE2QYffdwLoBWezCgKzvOYUXZYM3sicyINc9QewlNOdJhbhInVEP3SnilTXHOwvTGwZvDEv3ee0wIz4I5mwNE3IHUVZqpHrM/V0Lef8pLBOGz/l9UQRyQ7C+4dXNzeV5OWEv0p7uvMoQR9C3MhpAfX/YJaXQeqJiF2slH27VGwRT+bZYqJCICYMhjKD3SCZiDPX1sBiAATFhtKM+kBsAb6BiN3sJnvEJs5oJul+kYY8x8RjNpLoyfKVqnWKlHr7hC2C/zEjKMICyUu9I2DCLFsDZc+lmD8TUGh/rt2ceVmRANBKLCcN93XnyuUIltAOCWul2REXOkHc21p8kX675rgoKe4yJRxDHrJpIYXkzoHaa3ODsg3STwjK5VnKF7vvLgiAyIJrptjwzW6wwku4JrZvbo9s9EBOlmQDjbiXPok+FFvYYE4+Jge5y8kopcgZSb4m4kwrqdq2EvU7AWSvdGJBciCPoWxnNJKk1FKtd9pcFQWRANDOS7m4eVjZv5uYazTiHM/kd9TDv3phetUtYNMszV/0phmbZdMhlvN2Wla6s1ag1VOgGBLxUUHd7CWGXTYMXgXRn+Exc76BG9gRBZEA0021Z6WKhHLoyA0fuekOx6nOg4kK+TCYZpy8Zrnc25pVn+mwQWz9/PlzDN9jbQyImvjd1TYwx8QhCEZtKYS2vVanUGr5+fsGQ3EGe6d4t1hkQEfmQiFx0TyQ8ISLv2uR17xCRl0TklIh8MGw522U0k/SdTgHHIw3bi4fuG8QW8xXGB8KXe6xZnulfbghfEcdi0pUnb6IU1mOii72Ear3B8lrVSJTtOWZ+FfHCapkJA2vc27TvpoclKKwzIC7/WSl1t/vvkaufFJE48DvAO4HbgR8WkdvDFrIdxvudqiC/qaCFfNmIAfFuaL/GbyEf7pRSj/VUkH9FHHZJqcdYxr8nv76ha8Bo9yd9pww95W1CEXe7VuYN3ZveteombRgUthqQ7bgPOKWUOqOUqgAfB95jWKYNGe93UkF+PPlStc5qqdbcGA6T9U5dnykVQ5FTX9KZh+XXO8saKikFGB9I+b7ezQjE0FpZKdV8NUHOr5rZK3N+p//ChUZDkS2YWeOeYzbv02gHia0G5KdE5BkR+YiIjGzw/F7gQsv30+5j1yAiD4rIcRE5Pj8/r0PWLRkf8L856nmVRm6uge5SQQv5spEUFjj7IP73EszktcGrCvJ3vdcVsUlno3PZvWILkxGIH7lzxQr1hjJyvXt74gz2Jm7cCEREPi8iJzf49x7gd4EjwN3AZeDXu/ldSqmHlFLHlFLHJiYmuhe+Q7oJkxcMemdeKsSPl1NvKLLFCuOGFPFYv/99p4W8mbw2rPcl+Knvn18tM9TXQyoRbtECdOfJe+trwsQa7+bedI2OKSdpYiDVNL4mCT/RCyilHmjndSLye8BnNnjqIrC/5ft97mPW0Y0B8SprTCzSZCLGcLrHl9zZQgWlzN1cY5kU07mir5+dXy1zeCwTsETtMd6fpFxrkC/XGOjtbPaZUcPXRU7e+xkv4g2TTDJOb09sxxk+cJ2N1WgT/RpEZKrl2+8HTm7wsieAoyJyWESSwPuAh8OQr1O8BebHk/cWiLmUSsqf3IZ6QDwmBvxFIEop5lcNpt4yXaSCVstG0imwvsb9KLT5VafcO50M35cVEcb7U76u97rhu7EjEOsMCPCrIvKsiDwD3A/8LICI7BGRRwCUUjXgp4DPAi8An1BKPWdK4K0Y7EvQExdfuW2T+WHw36nr3ZCmDN9Yxl/l22q5RrnWMOdVduHJz+fLTAz0Bi1SW3jlsH4U2kK+Ymx9g5PG8ie3WSfJiUDMGxAjKaytUEr9o00evwS8q+X7R4BrSnxtQ0Tc8kx/i7Q/lQh9VILHxEAvz04vdfxzpr2zMbfybWmtswOtvBvSpMEG//tlpgxfOpkg7bPybWHVTCmsx0R/kktLpY5/bj5fJhmPGSn3BmeNrpZrrFXqoTfrtmJjBHLdMT7g35M3lZYAR6F1lcIy0JMA/kuQ540bEH8Ve8VKjUKlbmQfwcPvYMJ5g3s3gG/nbt5tIjRR7g329IJEBiQE/N5cC/lys1LEBBMDKQqVOmuVzur7F/IVxzvrM+Od+U2pmE4Z+j3kyNt7MBWBgP90p6lGWY9xd7+s03TngmHnrrm3GhmQ6x+/FRPOzWXWq/Tk6ATH8JlpxgPYNeCvcMF0ZU1PPMaIj8q3+byTgjGVMgR/TlKl1mCpWDUegdQbiuW1zgaeGk+9+VzjQRMZkBAY70+xWOi8vt/UHCwPT5HOdbhIF/NmBkB67Bp0NpPnVjo3IImYMNQX7hnXrUwMdF75ZtrwgWO8Ok29NcvUDcsN/pwko3J3OYYlKCIDEgLj/Umq9c68nFq9Qa5YMZ7Cgs4X6ZzBDV2AgVSC3p4Yc6udbY7Ou15l2GevtDI52Mtsp4bPVdy7DHryE+7Mt04m25recwKaza6dGL9GQ7FYqBjdc2qmaaMI5PrHjyL2mvEmdmAKa3alzO4hMyWl4FS++VPEZjd0AXYN9DK30rnhEzEzidfD+3t3kpNfL4U1uJcw4EXZ7V/zrDvGxKST5DfdGTSRAQkBTxHPd7AP4im/yUFzitiPl1OtN1gslNllqCfBY3Kgt+MIxGQ3t8fkYIq51XJHm7rzq2VG00kScXO38+Sgc91mOzB+Jgcpeky6hq8TuWeWndeadJLAcTY6dZKCJjIgIeDdXJ0oNG9BmzQgfrwcZ5aTWbkBJgZTvvZATHqV4Fy3mjtLrF1M5+Nh/e89u9yJIjbvJA2knB4WT5Z28O7N3UN9usRqi8mh3o4Mnw4iAxICzZurEy9nZWd6OeuRk2GFNtDZzdVoKKdowWBeG/x58nMrJXaZvt4+1/hYJkkyYU4NiQi7BztbK5e9CMSwkzQ12NuMhkwRGZAQGOjtIdOhlzO3UiIm5saBeOzu0MuxIXIC2DXo9LDky+0dyWtDXhv8VZBdXi4ZV2aj6SQ9cWGmA7lnlteMO0jgrNWZDtd4TMzu3YATgczny1Tr/o7kDYLIgITEZIdezsxKifH+lNG8Njhe1uUOvBxvA9i8R+ymDdu85ut5bcNpiQ49+Wq9wXy+zJRhRRyLSccFADMrZeOGDxwnqRNPfma5xMSA+XtzaqgXpTovsw+SyICEROdejtlKJo/JoV4WOvByZlfKxGNi5GjVVrxN/HZvLs9ImlbEXgTUbtpwftXZczJt+MAx2p168pM2rPFBp+Ci3cKFmRXzER+sp9BMprEiAxISnXo5sysl45VM0LmXM7tSYqI/RdxgLwV0vpcws7wGmDcgyUSMsUyS2TYLLmwxfNBZurNUrZMtVJiyQhGnqNbbL1yYXSkZT9HC+v5oZEBuADr1cmZXSuweMuvFQ+dezuxq2fgGOqzvJbRbgnx5uUQiJsarmcCRvfPUm3mF1knBhbfHY0ME0qkinlkuWXG9m/emwUqsyICERCdeTrlWJ1esMmlBBDLZqQFZLjWVt0m8bvT2IxDHqzTZhe4xOZhqWxF7ysOWCCRfrrVVuHDZkogP1tN/7ayVtUqdlVLNighkON1DKhFrRs8miAxISOzuoGHJJu/Mu8Hb9XJmV0tWRCBeN3q7VUGXltesUGbQWQnyzPIaqUTM6Pwuj04KF5pl6hYo4k48eZvkFhF2D3VW5BI0VhkQEfkzETnh/jsrIic2ed1Z99TCEyJyPGQxfdFJdY0tpbDgeDnJRHuefKlaZ8mSyAlgz1Afl5ba885sSUuAo4jbLVy4vFxiaqjX2OTjViY7UcSu0rPBSRrvTxKT9pogbUoZAh33sASNVQZEKfUPlVJ3K6XuBv4S+OQWL7/ffe2xcKTrjvU86/YesXVeTpulvHMWjF9pZe9IHxdz2xsQpRSXl0vsGTZfyQSO3A3VXtrQJsPXyX7ZzEqJTDLOQMr8oaiJeIyJgfYqyGxy7oAoAtkIcdypHwI+ZlqWoBjvTyHSnndmSze3x+6h3ra8s+mlIgD7RixRxMN9zK6Wtp0QmytWKdcaVhhsgH0jaQAu5IrbvnZmpcSUBSW8QNMAX8hub7Rnlp0SXhsiJ3D2Qdo52vaSRXs34NybcyudzU4LEisNCPAWYFYp9comzyvgcyLypIg8uNUbiciDInJcRI7Pz88HLmi79MRjjPen2lLEF3NrpJNxK/La4DYTrmyvFKZdb99TgKbZO9KHUusbtpth04YurBvg6W2ip0ZDudV6dsjd2xNncjDVluGzoXu+lQOj6bbkvpAtMt6fJGNB5ASOk1Rxm0lNELoBEZHPi8jJDf69p+VlP8zW0ceblVL3Au8EPiAib93shUqph5RSx5RSxyYmJgL6FP7YO9zHxTZy8hdyRfaPpK3xzqaGepld3t7Lmc4WiYk9+eF9rke8XRrLS7lMWZLCmhrqQ2R7A7JYqFCtK6sU8f6RNBey7SniA6N2OBoAB0addGd9mzV+IbtmjYMEsN+9hufbuOY6CN2AKKUeUErdscG/TwOISAL4AeDPtniPi+7/c8CngPvCkL1b9nfg5ewftUOZgePJt+PlTOfW2D3Ya3Q4Xit7PU9+G6NtUzMeOM2Euwd7tzV83lqyJWUIzhrfzvDlyzUWC5Wm8rOB/SNpag21bbR63jLDd9CV5dziDWJA2uAB4EWl1PRGT4pIRkQGvK+B7wROhiifbzwvp7ZFdY1SiumcXV7OgTYX6XRujX0W3VyeJ7+dIp7OrdETt6OJ0GPfSB/T2zgb5xYLABwcy4QhUlvsH+nj8vLalhVkXoRycMyetXKgDU++Vm9wcWnNKgOybySNCJx310LY2GhA3sdV6SsR2SMij7jfTgJfFZGngW8Cf62UejRkGX2x7uVsvg+yVKySL9es8io9BbVdmDydK1oldzIRY3Kgd1uP+Nxigf2jaePjV1rZN7K9J39usYgIVkWr+0bSNBRc3mJD2nNEbFLEXjS0Vfrt8nKJekNZJXcyEWPPUJ+xFJYdO0EtKKV+bIPHLgHvcr8+A9wVsliB4C28C7nipuG7l5awKbzfO9xHbBsvp1JrMLNSsipyAreUd2nrm+tbCwUOW+TFg+PJP/x0iVq9senU1/OLRaYGe0kl4iFLtzn7XGN2IVfkwCYRRjMCGbXnmk8N9ZKIyZaK2JN7n0UGGxy9cu5G2QO5kWnHy/FKIPdbpIiTiRhTQ31bLtKZ5RINZVc+HrYvXFBKcW6xaFUaCBxPvr5NtHp2sWCd3N663WqNn8sWGOxNMJS2o8oQnF6QPcN9W5Yge8bFpggEnFTg+WgP5PpnaqiX+HZeTjMCsUsRHxhNtye3RYYPnAjk8lJp0+qa+dUya9U6h8btkrudUt7z2aJV+wiwvsa3KhY5n12zzvDB9mv8fLZIIibW9N14HBhLs1iobDqDbKVUZbVU1fK7IwMSIol4jL3beDkXskWG0z0M9NrjncH2Xs60hRVB4FSp1Bpq05EmZxe9DV27FNq+bTz5fLnGQr6yaZrIFI4n37u1J79YsE5ucKsktzEg+0b6rNorg5YCgE3uz49/8zx3fuhzLK8Fb0QiAxIy+0e33vC6kFuzzouH7b2cC9k14jGxpgfE4/C4YxhOz+c3fP6su69zyDKFtme4l2Q8xpmFjfedPGVh0z6Cx8HRTLNC7GrqDafK0LY0EDiKeOs1vvnepUm8NXA+u/E1f2U2z3h/SktjcmRAQubAaHrL8sxpy3pAPLbzck7P5zk4mqbH8DGfV3PTRD/gbJRvxLnFAomYsNeSJkKPRDzGofE0p+Y2NnzrJbz2KbSbd/Vzai6PUtemDS8trVGzrJLJ46YJ19nY4JorpTg9X+CIu55s4qCbft3M2Tg1n+foLj1y23W33wDsH02zkK9smJOs1Bqcyxa5adzCRbqNl3N6Pt9U1jYx3p9kIJXY1ICcXXS8StPnW2/EkYl+zmwSOZ2zsJfC48iufgqV+oYFAJ5BvFmTQuuGV00OAPDy7Oo1z11aLpEv16yUe7C3h6mhXl6euVZupRSnZvPa5LbvrrnOudlVsht5lmcXC9QbyspF6m0yn56/VhHX6g3OLhQ5ssu+dIqIcNNEZlNP/uxCwUolDI5HfC5b3HAY5Muzq+waSFm3VwZbr/GXXOX8ql0DocrUDgdG0yQTMV7ZQO5XPLkn7ZMb4JbdA7w0e63cc6tlVjUavsiAhIy3AF/Z4I9ts3c20NvD3uE+XtzAy7mQW6NSbzQVh23csnuAl2ZWr0mp1OoNTs3lrUxLgLNW6g3FmYUNFPHMKrdODRqQanuOTjrXcyNP/uWZVXYP9lpVwusRjwlHJvo3lNu7X3WlgrrllskBTs/lr5ly8fylFef53XoMX2RAQmb/aJpUIrbpIhXBWoV2y+6BDcPkFy87i9RW7+y2qUEWC5VrZnmdXSxQrjW43VJF7MnlKQGPWr3BK7N5btOkFLplvD/F5GDqGrkBXpxZ5VWWyg1w29QAJy+uXONsPHtxmamhXkYySUOSbc2tUwNU6g1OXZXyPHlxGYBX79GzxiMDEjLxmHB0sr8Zyrfy/OVlDo6m6Uva01ncyi27Bzg9n78mpfLcpRXiMdHm5XTLrbudm+fFy1de8+fd72+z1IDcNNFPb0/sGkV8ZqFApd6w9noD3LFniGdd5eVRqtZ5eXaVOzQpsyC4a98wC/nyNfs3z0wv8Zp9Q4ak2p679g0DcOL80hWPP3txmZvGM9pSnZEBMYB3c13t5Zy8uMIde+1dpK/eM0itoXjpqijkuUvL3DzRT2+PnYbP8+SvVmjPXVqmJy5WpgwB1ygPXiO3pyRe4yoNG7lj7xCn5/MUK+slsc9dWqbWUNy9f9icYNvgGYlnppeajy0Xq5xdLFp9vQ+PZxjq6+HEhaXmY0opnp5e4k6Nhi8yIAZ4zb5hlorVK5qtcoUKF5fWuNNiA+Ld+Ccu5JqPKaV49uKKthA5CIbSPRyZyPDUudwVjz91Lscde4esGT+/EfceGObp6aUror6nzucY6uvhpnH7ihY87j4wTEPBU+eWmo/9vWv4bDYgt00NkkzEOH52fa08eT4L2C23iHD3/mGeOJttPnZmocDsSpnXHx7T9nvtvXOuYzwv50SLl+N5Djq9hW7ZO9zHxECqqQjA6a9YyJc5dmjUnGBt8NqDIzx5PteM+krVOk9fWOZ1lsv9+sOjlKqNK6KQ4+dy3HNgmJhlHdGtvO7QKPGY8PiZheZjj59e5MBoml0WHYB1Nb09cV53aISvnlqX+yuvLJBKxHjtwRGDkm3PW46Oc3q+0Oym/1/uZ/i2I5EBua64ZfcAA6kEj59ebD72v04vkEzEuPeAvYtURDh2cITHzyw2FfE3vuV4PK+/yW5FfOzQKEvFKs+7G/4nLixRqTc4ZrlS8Azc11xlcCFb5NRcnjcdGTcp1rb0pxLctW+IL7/syF2q1vna6QXuv8XsqaDt8JajE7w4s8rl5TWUUvzdS/Pcd3jU2hStxz+4dRcAX3hhFoC/OTnDwbG01jL1yIAYoCce441Hxvjyy/NNRfy1U4u89sCI9Yv0/lt2cXm5xAvuBvSXXppjcjBldToFHLlF4HPPOTfXoydnSCZifNvNdivisf4Uxw6O8MizlwH4vKscHrh90qRYbfGOO3bz7MVlTs/n+dJLc5SqDd7mKjmbeecduwH48+PTPHkux5mFAt9955Rhqbbn8HiGV+8Z5E++cZ5vLRR4/Mwi33/PXq1HY0cGxBDffssEF5fWeO7SCqfn8zx/eYX7b7XfO3vbrROIwP985hLLa1W++OI8333nHmvOb9+MiYEUrzs4yqdPXKRYqfHIs5d569EJ+lPWHYlzDd971x5enFnlm9/K8sePn+PVewabM75s5vvu3ks8Jvznx17md790mn0jfbz1qP1r/OBYhrccHef3vnKGn/3ECQZSCb73rj2mxdoWEeHBt97Eqbk89//al8gkE7zvdQe0/k4jBkREflBEnhORhogcu+q5nxeRUyLykoh81yY/f1hEvuG+7s9ExM7i7C34njv30NsT4w+/dpY/fvwc8ZjwfffsNS3Wtuwa6OW7bt/Nn3z9HP/6L56hUm/wA/faLzfAj7/5MGcXi7z91/+OudUyP/6mQ6ZFaov3vnYfk4Mpfui/P86ZhQI/df/NpkVqi12DvfyTt9zEZ565zNPTy/yL73iVdZNsN+ND73418ZhwMbfGv//+O8jsAEcD4N137eED9x/htqlBfuOH7tI+3FQ2GnimGxG5DWgA/x34OaXUcffx23GOs70P2AN8HniVUqp+1c9/AvikUurjIvJh4Gml1O9u93uPHTumjh8/HuyH6YJ//5nn+f2vfguAH77vAP/hB+40LFF7vHB5hR/88OPkyzV+6Ng+fvW9O+OASKUU//LPn+aTT13kx77tEB9696tNi9Q2T53P8eufe4m3Hp3gwbfeZH3E51GrN/jMM5cZSvdw/y32p69ayZdrlKt1xvpTpkUxjog8qZQ6ds3jJgxI85eLfIkrDcjPAyil/oP7/WeBDymlHm/5GQHmgd1KqZqIvNF9zYbRSiu2GZBqvcFvfv4Vag3FP3/7zaSTO8PLAWca7Jn5Am8+Om7dBN7tWC5WrRylERFhK5sZENs01l7g6y3fT7uPtTIGLCmlalu8pomIPAg8CHDggN58YKf0xGP83HfdYloMXxwcy1h3CFO7RMYjIiIYtBkQEfk8sHuDp35BKfVpXb/3apRSDwEPgROBhPV7IyIiIq53tBkQpdQDPn7sIrC/5ft97mOtLALDIpJwo5CNXhMRERERoRnbktcPA+8TkZSIHAaOAt9sfYFyNm2+CLzXfej9QGgRTURERESEg6ky3u8XkWngjcBfu5vlKKWeAz4BPA88CnzAq8ASkUdExCvG/tfAvxCRUzh7In8Q9meIiIiIuNExWoUVNrZVYUVERETsBDarwrIthRURERERsUOIDEhEREREhC8iAxIRERER4Ysbag9EROaBcz5/fBxY2PZV1xfRZ74xiD7zjUE3n/mgUuqaSZg3lAHpBhE5vtEm0vVM9JlvDKLPfGOg4zNHKayIiIiICF9EBiQiIiIiwheRAWmfh0wLYIDoM98YRJ/5xiDwzxztgURERERE+CKKQCIiIiIifBEZkIiIiIgIX0QGZBtE5B3u+eynROSDpuXRjYjsF5Evisjz7rn1P21aprAQkbiI/L2IfMa0LGEhIsMi8hci8qKIvOCe8HndIiI/667rkyLyMRHRe2i4IUTkIyIyJyInWx4bFZHHROQV9/+Rbn9PZEC2QETiwO8A7wRuB37YPbf9eqYG/Eul1O3AG4AP3ACf2eOngRdMCxEyvwk8qpS6FbiL6/jzi8he4J8Dx5RSdwBx4H1mpdLGHwHvuOqxDwJfUEodBb7gft8VkQHZmvuAU0qpM0qpCvBx4D2GZdKKUuqyUuop9+tVHIWy6ZHB1wsisg/4buD3TcsSFiIyBLwV9zgEpVRFKbVkVCj9JIA+EUkAaeCSYXm0oJT6MpC96uH3AB91v/4o8H3d/p7IgGzNXuBCy/dbnr9+vSEih4B7gG8YFiUM/gvwr4CGYTnC5DAwD/yhm7r7fRHZmQfdt4FS6iLwa8B54DKwrJT6nFmpQmVSKXXZ/XoGmOz2DSMDErEhItIP/CXwM0qpFdPy6EREvgeYU0o9aVqWkEkA9wK/q5S6BygQQFrDVtyc/3twDOceICMi/4dZqczgnuzadQ9HZEC2pp0z2q87RKQHx3j8qVLqk6blCYE3Ae8WkbM4acp/ICJ/YlakUJgGppVSXoT5FzgG5XrlAeBbSql5pVQV+CTwbYZlCpNZEZkCcP+f6/YNIwOyNU8AR0XksIgkcTbcHjYsk1ZERHBy4i8opX7DtDxhoJT6eaXUPqXUIZy/8d8qpa57z1QpNQNcEJFb3IfejnOc9PXKeeANIpJ21/nbuY6LBjbgYeD97tfvBz7d7Rsmun2D6xmlVE1Efgr4LE7Fxkfcc9uvZ94E/CPgWRE54T72b5RSj5gTKUIj/wz4U9dBOgP8Y8PyaEMp9Q0R+QvgKZxqw7/nOh1pIiIfA94GjIvINPBLwK8AnxCRn8A51uKHuv490SiTiIiIiAg/RCmsiIiIiAhfRAYkIiIiIsIXkQGJiIiIiPBFZEAiIiIiInwRGZCIiIiICF9EBiQiQhPupNt/etVjf+PO3YqI2PFEBiQiQh/DQNOAiEgfMKaUmjYmUUREgEQGJCJCH78CHBGREyLyn3Aau74EICJnReQ/uM8dF5F7ReSzInJaRH7Sfc2UiHzZfc1JEXmLsU8SEbEBUSd6RIQ+PgjcoZS6G0BEfgv4q5bnzyul7haR/4xzfsObgF7gJPBh4EeAzyql/l/3bJp0eKJHRGxPZEAiIsLjTcDPtXzvzVV7Fuh3z19ZFZGyiAzjzGL7iDvc8q+UUifCFDYiYjuiFFZERAiIyE3ABfdgMo+y+3+j5Wvv+4R7KNBbcSZA/5GI/GgowkZEtElkQCIi9LEKDLhfvxN4tJMfFpGDwKxS6vdwTkq8nketR+xAohRWRIQmlFKLIvI1ETmJcwLeP+nwLd4G/D8iUgXyQBSBRFhFNI03IkIzIpICvqaUOmZaloiIIIkMSERERESEL6I9kIiIiIgIX0QGJCIiIiLCF5EBiYiIiIjwRWRAIiIiIiJ8ERmQiIiIiAhfRAYkIiIiIsIX/z9el2LQOpX1HAAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 432x288 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "aly.autocorr(variating_tone[2.0:2.5]).plot(0, 10, xlabel=\"t/ms\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Taking 1024 points for the Fourier transform, we can see that only the peak representing $440Hz$ appears on the spectrum at this point. This is because when performing the $N$-point Fourier transform, we select the first $N$ sample points of the audio by default. When the frequency components of the audio remain constant, it is equivalent to using the Fourier transform with all sample points, with only a difference in spectral resolution. However, since our audio is composed of three monotones with different frequencies in this case, the spectrum obtained from the 1024-point Fourier transform does not reflect all the frequency components."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 432x288 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "aly.FFT(variating_tone, 1024).plot(0,1000)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The Fourier transform using all sample points can reflect all frequency components, but not the information \"what frequency components are present at what time\"."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 432x288 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "aly.FFT(variating_tone).plot(0,1000)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The same problem exists for the power spectral density."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 432x288 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "aly.PSD(variating_tone).plot(0,1000)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Framing and windowing allow us to analyze the short-time characteristics of the audio. When the frame length used is small enough, we can treat the audio within each frame as consisting of a deterministic signal with a constant frequency component and a random signal which is a realization a stationary random process, thus applying the analysis methods mentioned in the previous two sections within each frame.\n",
    "\n",
    "The windowing function of pyAudioKits can be used to framing and windowing audios. The step length is calculated as the ratio of the overlap between frames (0.5 as in the example means that the step size is half the frame length; taking 0 means that there is no overlap between frames, where the step size is equal to the frame length)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "variating_tone_framed = variating_tone.framing(0.03,0.5)\t#Using a rectangular window with a frame length of 0.03s and a step length of 0.015s to framing and windowing"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "All the same analysis statistics functions used before can be applied to the framed audio, and the returned result will have an additional frame dimension. This dimension is still in time units by default, but can also be in sample points count and frames count.\n",
    "\n",
    "At this point it is possible to plot the power over time."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 432x288 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "aly.power(variating_tone_framed).plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It can also be expressed in the form of gain."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 432x288 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "aly.power(variating_tone_framed,dB=True).plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Show the results in frames count as x-axis units."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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89mwmAQ1mtsrM2oBZwOQOeSYDd4XL9wNnKpjYYjIwy8wSZrYaaAjL67RMM9sNEG7fB7A87ptzrhd4zyY68hlshgHrst6vD9Ny5jGzFLALGNLFtl2WKel/gM3AOODmrHyfyTq9NiJXZSVdKaleUv3WrVt7vJPOubfHzEhnjHjMLx1HQUm1spl9ETgSeBm4MEx+GBgVnl77E/t7Uh23nWlmtWZWW1NTc1Dq61yUpTPByQfv2URDPoPNBiC7FzE8TMuZR1IZMBBo7GLbbss0szTB6bXPhO8bzSwRrr4dOOVt75FzrtekwmDjo9GiIZ/BZgEwVtJoSRUEF/zrOuSpAy4Nl6cAT5qZhelTw9Fqo4GxwPzOylRgDLRfszkfWBG+PyLr884n6PU45wosY96ziZKyfBVsZilJ04DHgDhwp5ktk3Q9UG9mdcAdwD2SGoDtBMGDMN8cYDmQAq4Keyx0UmYMuEvSAEDAYuCrYVWulnR+WM524LJ87bNzrue8ZxMteQs2AGY2F5jbIe3arOVW4IJOtp0BzOhhmRngvZ2UMx2YfqB1d87lVzrtPZsoKakBAs65d472no0/Gy0SvJWdcwXho9GixYONc64gUpkM4NdsosKDjXOuILxnEy0ebJxzBeGj0aLFg41zriD292z8aygKvJWdcwWRSnvPJko82DjnCsKv2USLBxvnXEG0j0bz+WwiwYONc64gvGcTLR5snHMF4aPRosWDjXOuIHw0WrR4KzvnCsJ7NtHiwcY5VxDpcICAX7OJBg82zrmC8PtsoiWvwUbSOZJWSmqQdE2O9ZWSZofrn5c0Kmvd9DB9paSzuytT0h2SFktaIul+Sf26+wznXOG0X7Pxoc+RkLdgIykO3AqcC4wHLpI0vkO2y4EdZjYGuBG4Idx2PMGsnROAc4DbJMW7KfObZnaimZ0ArAWmdfUZzrnCSvnQ50jJZ89mEtBgZqvMrA2YBUzukGcycFe4fD9wpiSF6bPMLGFmq4GGsLxOyzSz3QDh9n0A6+YznHMFlG4fIOBn86Mgn608DFiX9X59mJYzj5mlgF3AkC627bJMSf8DbAbGATd38xlvIulKSfWS6rdu3Xog++mcexu8ZxMtJfWTwsy+CBwJvAxceIDbzjSzWjOrrampyUv9nHP7pX3ytEjpUbCR9C5Jf5a0NHx/gqTvdLPZBmBE1vvhYVrOPJLKgIFAYxfbdlummaUJTq99ppvPcM4VkPdsoqWnPZtfAtOBJICZLSG4gN+VBcBYSaMlVYT56zrkqQMuDZenAE+amYXpU8ORZKOBscD8zspUYAy0X7M5H1jRzWc45woo7Td1RkpZD/NVm9n8DtfVU11tYGYpSdOAx4A4cKeZLZN0PVBvZnXAHcA9khqA7YQBLMw3B1gefs5VYY+FTsqMAXdJGgAIWAx8NaxKzs9wzhXWvvts/HE10dDTYLNN0jGEI7wkTQE2dbeRmc0F5nZIuzZruRW4oJNtZwAzelhmBnhvJ+V0+hnOucJp79n4fTaR0NNgcxUwExgnaQOwGvh83mrlnCt5fs0mWnoUbMxsFXCWpL5AzMz25LdazrlS56PRoqXLYCPpnzpJB8DMfpyHOjnnIqD9qc9+j3UkdNez6R/+eyzwf9g/muwTBKPDnHPubUlnjJgg5j2bSOgy2JjZ9wAk/RWYuO/0maTrgEfyXjvnXMlKZcxHokVIT1v6MKAt631bmOacc29LOmN+vSZCejoa7W5gvqQHw/efZP/DLZ1z7oCl0uYj0SKkp6PRZkh6FHh/mPRFM3sxf9VyzpW6dCbj99hESI+CjaSRwDbgwew0M1ubr4o550pbcM3Gg01U9PQ02iPsnx+mDzAaWEkwuZlzzh0wv2YTLT09jXZ89ntJE4F/zEuNnHOR4KPRouVttbSZvQCc2st1cc5FiPdsoqWn12yynyQQAyYCG/NSI+dcJPg1m2jp6TWb/lnLKYJrOL/r/eo456Iincl4zyZCehpslpvZb7MTJF0A/LaT/M4516VU2k+jRUlPr9lM72Gac871SDpjlPl9NpHRZbCRdK6km4Fhkm7Kev2KbmbqDLc/R9JKSQ2SrsmxvlLS7HD985JGZa2bHqavlHR2d2VKujdMXyrpTknlYfqHJO2StCh8XYtzruBSGSPuo9Eio7uW3gjUA63AwqxXHXB2F9shKQ7cCpwLjAcukjS+Q7bLgR1mNga4Ebgh3HY8wfTNE4BzgNskxbsp815gHHA8wb1AV2R9ztNmdlL4ur6bfXbOHQRpHyAQKd099XkxsFjSvWbWbU+mg0lAQzjxGpJmAZOB5Vl5JgPXhcv3A7comCxnMjDLzBLAakkNYXl0VmY4XTRh+nxg+AHW1zl3EKV8gECkdHcabU64+KKkJR1f3ZQ9DFiX9X59mJYzTxjMdgFDuti22zLD02eXAH/MSj5d0mJJj0rK+dQDSVdKqpdUv3Xr1m52zTn390pnzCdOi5DuRqN9Pfz34/muSC+6DfirmT0dvn8BOMrMmiSdB/weGNtxIzObCcwEqK2ttY7rnXO9K5Uxqso92ERFd6fRNoX/vv42yt4AjMh6PzxMy5VnvaQyYCDQ2M22nZYp6btADfDlrH3YnbU8V9Jtkoaa2ba3sU/OuV7iTxCIlu5Oo+2RtDvrtSf7327KXgCMlTRaUgXBBf+6DnnqgEvD5SnAk2ZmYfrUcLTaaIKeyPyuypR0BcGghYvMLJO1D4eH14GQNCnc58Zu6u6cyzOfzyZauuvZ9O9qfTfbpiRNAx4D4sCdZrZM0vVAvZnVAXcA94QDALYTBA/CfHMIBhOkgKvMLA2Qq8zwI38OvA48F8aWB8KRZ1OAr0pKAS3A1DCgOecKyHs20aKefu+GT3p+H8FUA8+U8uRptbW1Vl9fX+hqOFfSzvzR/zLu8AHcevHEQlfF9RJJC82sNte6Ht1RFd4IeRfBSLGhwK8kfaf3quicixrv2URLT5+NdjFwopm1Akj6AbAI+H6e6uWcK3H+1Odo6emzIjYCVVnvK3nryDLnnOsx79lES097NruAZZL+RHDN5iPAfEk3AZjZ1Xmqn3OuRPmDOKOlp8HmwfC1z//2flWcc1HiPZto6VGwMbO78l0R51y0BNds/KnPUdHT0Wgfl/SipO0HcFOnc851yns20dLT02g/AT4NvOQ3RDrnekMqk/HRaBHS0z7sOmCpBxrnXG/xnk209LRn8y1grqSngMS+RDP7cV5q5ZwreX6fTbT0NNjMAJoI7rWpyF91nHNRkMkYZvi00BHS02BzpJm9O681cc5FRioTnJH3+2yio6c/K+ZK+mhea+Kci4x0GGz8mk109DTYfBX4o6QWH/rsnPt7pTLBlFN+zSY6enpTZ39JgwkmMavqLr9zznXFezbR09ObOq8AngL+CFwX/nttD7Y7R9JKSQ2SrsmxvlLS7HD985JGZa2bHqavlHR2d2VKujdMXyrpTknlYbok3RTmXxLOy+OcK6D2azYebCKjp6fRvg78H+B1M/swcDLBwzk7JSkO3AqcC4wHLpI0vkO2y4EdZjYGuBG4Idx2PMGsnROAc4DbJMW7KfNeYBxwPNAHuCJMP5egRzYWuBL4WQ/3+W3bvreNv6zcQt3ijbQm029Zn0xneGL5GzzwwnraUpm3rE9njIcXb+TRlzbR0vbW7VPpDI8t28wTy99g486WnNu/sHYH9y9cz9rG5px1XLF5N3c9u4bNu1pzrl+yfidzFqxj3fbc27+0fhd/XLqJha/vyLl+w84WHlq0gWdf25Zz/a7mJPc+/zoL1mzPub6xKcHsBWtZ+Pp2kum3HqNtTQkeX7aZPy1/g+a2VM4y/Law4rW/Z+Oj0aKip6PRWs2sVRKSKs1shaRju9lmEtBgZqsAJM0CJhNM9bzPZIKeEsD9wC0K5nSeDMwyswSwOpw2elKYL2eZZjZ3X6GS5gPDsz7j7vCG1HmSBkk6wsw29XDfD8jTr27la/e9yM7mJABH1/TlRxecyMkjDwFg/urtfO2+F3hjd3C70o1PvMJ/fuoE3jd2KABLN+ziW/cvYfmm4JJY/8oyfvjZEzl7wuEArNvezDdmL2r/ku9THueGKSdw/olHAsGX8D/++gXmh1/ifcrj/L/zxnHxqUcRi4mdzW383zmL+fOKLQDMmPsyV77/aL5x1ljK4jGaEilmPPIy981f275PF586ku9+YgIVZTGS6Qw/evwVfv7Ua+3rP1s7nOsnv5uq8jiZjPHTP7/KT//8avv6T588jO+eP4GBfcoxM25/ejU3PvEKzWEgPXX0YG688CSOHNQHgMeWbebbD77EtqY2AI49rD+//EItI4dUtx/jr89axPa9wfoxh/bjtosn8q7D+rcf42/OXsRXPng0l5w+6u9pTpcn3rOJnp4Gm/WSBgG/B/4kaQfwejfbDCN48kB7GcCpneUxs5SkXQSzgQ4D5nXYdli43GWZ4emzSwh6Y53VYxiwqcN2VxL0fBg5cmQ3u5bbH5Zs5Or7XmTsof257eKJNCfS/NtDS/nMz57lsveMJmPGr+e9zsjB1dz+heOJx8WMR17mkjuf59LTR1FVHufOZ1YzuG8FN190MkP6VnDDH1fw5XsWMuWU4Rw5sIrbn1lNTOJHF5zIqKF9+c+5L3P1fS9St2gjJwwfyD3zXmdPa5Lvf/LdnDh8EP/9+Er+7aFlPLbsDU4/ZgizF6xj865W/uXsY/nQsTXc/vRqbvlLA/Wvb+fDxx7KffPXsnZ7M1e8bzSfnjic+xeu586/realDbv42PFH8MALG1j5xh4umjSSS047ikeXbuLmJxuYt2o7nzt1JE+u2ML81dv59MnD+NL7RvP48je49S8NPPtaI5e+ZxQLX9/OEy9v4azjDuNrZ4zhxbU7+OHjr/CJm5/hC6ePYtW2Jh5atJEJRw7g558/hXU7mrmubjmfuOUZPn/aSDbtbOXBRRsYGwaYXS1Jvv3gS3z8pme47L2jaG5LMXvBOpJp49nXGj3YFKl02q/ZRI0O9FSDpA8CA4E/mllbF/mmAOeY2RXh+0uAU81sWlaepWGe9eH71wiCx3XAPDP7dZh+B/BouFl3Zf4S2Gtm3wjf/wH4gZk9E77/M/CvZlbfWd1ra2utvr7T1Z3a1pTgp0+8yjXnjqNvZRDHd7cm+feHl/PbheupLItx1vjD+I9PHc/APuUANLel+M6DS3ngxWAuujPGHcoPLziRwX2De2dbk2m+/8hyfv/iRpoSKc4YdyjfO38CIwYHv/LbUhl+8dRrzHx6FXtaU7znmCH8v/OO493DBgLBqaTfzF/LjEdeprktzZhD+/FfU05gYtjTAvht/Tq+9/BymhIpjhhYxU8uPIlTjx7Svv6hRRv46ROvsmrbXoYf0odrPz6ej4Y9LYC/NWzj3/+wnBWb9zBsUB++8sGj+fxpRxF0UoNTcv80ZzENW5roWxFn2hlj+coHj25f37Clia/PepFlG3cTj4mrPjyGaR8eQ0VZcIrl9ca9XFe3jKde2UpZPMYX3zuKr585luqK4Bhv2dPKDx5dwQMvbKCqPMZ57z6C9Ttb2N2S5I/f+MABt6PLv1VbmzjjR0/x06knMfmkYd1v4N4RJC00s9qcK80sLy/gdOCxrPfTgekd8jwGnB4ulwHbAHXMuy9fd2UC3yXofcWy0n4BXJT1fiVwRFd1P+WUU6y3bdrZYolkutP1rcmUNbUmO13flkrb2sa9lslkcq7f3dJmG3Y0d7r97pY229XS1un6TCZju1varC2Vu46ZTMbWNu611mQq5/pUOmOvbdlj6XTu+qXSGdu2p7XT+puZtbSluqzj1j2t1tiU6HT9hh3NtjcRHMPv1S2zcd95tMvPc4XzyubddtS//sEeXryh0FVxvQiot06+V/N5dW4BMFbSaEkVBBf86zrkqQMuDZenAE+GFa4Dpoaj1UYTXNyf31WZ4Yi5s8PAkunwGV8IR6WdBuyyPF2v6crhA6vaf6nnUlkWb+8N5VIejzFicHV7b6Cj/lXl7dc8Ols/oKq80/WS6F9VTnk8dx0lMWJwNZVl8Zzr4zFxdE0/Yp2cFonHxJB+lZ3WH6CqPN5lHYf2q2zv8eVy5KA+7b2d0TV9aUmm26+NueLi12yip6fXbA6YBddgphH0SuLAnWa2TNL1BNGvDrgDuCccALCdIHgQ5ptDMJggBVxlZmmAXGWGH/lzgutIz4VfaA+Y2fXAXOA8oAFoBr6Yr312xWP0kL4ArNrWxOED/dawYuOj0aInb8EGwIIRYnM7pF2btdwKXNDJtjMIHgDabZlhes59CXtKVx1Qxd073qihwTWtNduaec8xBa6Mewvv2USP/6xwJenIgX2oKIuxpnFvoavickiHj6vx0WjR4cHGlaRYTBw1uJrV2zzYFKNU2ns2UePBxpWsUUP7ssaDTVHyZ6NFjwcbV7JGD+3L643N7V9srnj4fDbR48HGlazhh/ShLZ2hca8Pfy42PhoterylXcnad89NroeZusLy0WjR48HGlazqiuAG1JYcT952heWj0aLHg40rWX3Kg2DT7D2bouM9m+jxYONKVp99PRsPNkXHR6NFjwcbV7KqPdgUrf332fhXUFR4S7uS1X4aza/ZFJ32no0PfY4MDzauZO07jdbqPZui49dsoseDjStZ+wcIpApcE9eRj0aLHg82rmS132eTzHST0x1sSX82WuR4sHElq6o8+PNu8Z5N0Umkgh8AnU3G50qPBxtXsiTRpzzuN3UWobYw2HQ1e60rLXltaUnnSFopqUHSNTnWV0qaHa5/XtKorHXTw/SVks7urkxJ08I0kzQ0K/1DknZJWhS+2idvc6WvuiLuN3UWobZ0mnhMfs0mQvI2U6ekOHAr8BFgPbBAUp2ZLc/Kdjmww8zGSJoK3ABcKGk8wRTRE4AjgSckvSvcprMy/wb8AfjfHNV52sw+3us76YpelfdsilJbKkNF3Hs1UZLP1p4ENJjZKjNrA2YBkzvkmQzcFS7fD5wpSWH6LDNLmNlqoCEsr9MyzexFM1uTx/1x70DVFXG/qbMItaUyfgotYvLZ2sOAdVnv14dpOfOYWQrYBQzpYtuelJnL6ZIWS3pU0oRcGSRdKaleUv3WrVt7UKR7J/DTaMUpkcpQ6cEmUqLQ2i8AR5nZicDNwO9zZTKzmWZWa2a1NTU1B7N+Lo/8NFpx8p5N9OSztTcAI7LeDw/TcuaRVAYMBBq72LYnZb6Jme02s6ZweS5Qnj2AwJU2P41WnBJpDzZRk8/WXgCMlTRaUgXBBf+6DnnqgEvD5SnAk2ZmYfrUcLTaaGAsML+HZb6JpMPD60BImkSwz429soeu6PWp8J5NMfIBAtGTt9FoZpaSNA14DIgDd5rZMknXA/VmVgfcAdwjqQHYThA8CPPNAZYDKeAqM0tDMMS5Y5lh+tXAt4DDgSWS5prZFQRB7KuSUkALMDUMaC4C+pSXec+mCLX5NZvIyVuwgfbTVnM7pF2btdwKXNDJtjOAGT0pM0y/CbgpR/otwC0HWndXGvpUxLxnU4QSqbQ/PSBi/KeFK2nVFWX+IM4i5AMEosdb25W0PuVxWpMZMhk/c1pM2nyAQOR4a7uS1j6nTcpPpRUTHyAQPd7arqTtmxrab+wsLn4aLXq8tV1JqwonUPMRacXFR6NFj7e2K2n7ejY+Iq24JLxnEzne2q6ktQcb79kUFT+NFj3e2q6k7TuN5tdsios/riZ6vLVdSauuCO5bbvXTaEXDzIJrNj4aLVK8tV1J6+M9m6KTTAf3PFWW+xMEosSDjStpPkCg+CTCe578Ppto8dZ2JW3/0Gd/ZE2xaEtlAPyaTcR4a7uS5jd1Fp+2tAebKPLWdiVt3zUbP41WPNp7Nn4aLVK8tV1Ji8VEZVnM77MpIvuCTWW5f/1ESV5bW9I5klZKapB0TY71lZJmh+uflzQqa930MH2lpLO7K1PStDDNsqd9VuCmcN0SSRPzuMuuCFX7bJ1FJeE9m0jKW2tLigO3AucC44GLJI3vkO1yYIeZjQFuBG4Itx1PMGvnBOAc4DZJ8W7K/BtwFvB6h884l2Ba6bHAlcDPenM/XfGrrihjb8KDTbFI+ACBSMpna08CGsxslZm1AbOAyR3yTAbuCpfvB86UpDB9lpklzGw10BCW12mZZvaima3JUY/JwN0WmAcMknREr+6pK2r9KstoSiQLXQ0X8tFo0ZTP1h4GrMt6vz5My5nHzFLALmBIF9v2pMy3Uw8kXSmpXlL91q1buynSvZP0rypjT6sPfS4W+0aj+VOfo8VbO2RmM82s1sxqa2pqCl0d14s82BSX9gECZf4EgSjJZ7DZAIzIej88TMuZR1IZMBBo7GLbnpT5durhSlj/qnL2tPpptGLR/gQB79lESj5bewEwVtJoSRUEF/zrOuSpAy4Nl6cAT5qZhelTw9Fqowku7s/vYZkd1QFfCEelnQbsMrNNvbGD7p2hn/dsiorfZxNNZfkq2MxSkqYBjwFx4E4zWybpeqDezOqAO4B7JDUA2wmCB2G+OcByIAVcZWZpCIY4dywzTL8a+BZwOLBE0lwzuwKYC5xHMMigGfhivvbZFSc/jVZcfIBANOUt2ACY2VyCL/vstGuzlluBCzrZdgYwoydlhuk3ATflSDfgqgOtuysdA6rKaUtnaE2m25+V5grHH1cTTd7aruT1rwp+U3nvpjjsHyDgXz9R4q3tSt7+YOODBIqB39QZTd7aruT1rywHvGdTLPxxNdHkre1Knp9GKy5tqQwV8RjBw0JcVHiwcSWvf1XQs/FH1hSHtlTGT6FFkLe4K3n7eja7vWdTFNrSaR8cEEHe4q7kDajyazbFJJH0nk0UeYu7ktfPR6MVlba0B5so8hZ3JS8eE30r4t6zKRL7Bgi4aPEWd5EQPB/NezbFwAcIRJO3uIuE4MnP3rMpBm3pjA8QiCBvcRcJ/jDO4pHwnk0keYu7SPA5bYpHEGz8gahR48HGRYL3bIqHDxCIJm9xFwkDqsr8ps4i0ZbymzqjyFvcRYKfRisePkAgmvLa4pLOkbRSUoOka3Ksr5Q0O1z/vKRRWeumh+krJZ3dXZnhVNHPh+mzw2mjkXSZpK2SFoWvK/K5z6449a8sI5HKtM+l4grHhz5HU95aXFIcuBU4FxgPXCRpfIdslwM7zGwMcCNwQ7jteIIpoicA5wC3SYp3U+YNwI1hWTvCsveZbWYnha/b87C7rsgd6Jw2wQSvhXOgn18M9e1pHXw0WjTlc1roSUCDma0CkDQLmAwsz8ozGbguXL4fuEXBc8cnA7PMLAGsltQQlkeuMiW9DJwBfC7Mc1dY7s/ys2vunWbfk5/P/PFTtKUyJNMZhvStJCbY3txGeSxGZXmcyrIYO5vbaEtnGNqvEoCWZJqWtjR9K8uoroizrSlBxqCqLEafijiJVIY9rSkG962gT3mclmSa1mSamMSAPmXs3JukJZlmUHUFZTGRMcMIvqAztv9fCfpWlNGSTLOzuY1DqiuoLIsFn59MUxaLMbhvBbtakrS0pakqDz4/Y7B9bxvVFXEGVZeTSGZoSabJZIxB1RUkUhl2NLdRHhdV5XHK4zF2tySJSQzpV0FzW5rmthQxiZiEBAJisfA9QYBoS2eo6VdJMp1hZ0uSyrIYfcLyGvcGx6SmXyWpTIbWZIZEKk3/qnIq4jG2NiUA6FMeZ1e4rYuWfAabYcC6rPfrgVM7y2NmKUm7gCFh+rwO2w4Ll3OVOQTYaWapHPkBPiPpA8ArwDfNLLsMACRdCVwJMHLkyB7uonun+MC7avj8aUG79imPE4/FaAyDxpB+FaTSRksyTSKVZlCfCsrLRGNTGzEF+SvL4zQlUjQnUgztV0lZPEZrGIQqy2P0qyyjsamNRCpNn4o4lWVxMmbsbkkyqLqCqvI4u1rayGSCoCKJmGj/co8pCEJNiRR9yuMM7FPOzpYkbakM1RVx+pTH24PGgKpy+laW0RoGNYBD+lbQnEixqyVJVXmcqvI4MYmdzW1UlMXetI/JdIb+VeWkM0ZjU4K+lWX0rSxrD3oZMywrCGbMqCqPUxYTW/ckKI/HGFRdTls6Q2syTVvKGNy3HElsa0pQHguCYEVZENTaUhlq+leCoLUtTVs6w6dOHl7IPwdXAPkMNsXiYeA+M0tI+jJBr+eMjpnMbCYwE6C2traw5yRcr6vpX8n3P3l8oavhXGTlsy+7ARiR9X54mJYzj6QyYCDQ2MW2naU3AoPCMt70WWbWGJ6OA7gdOOXv2ivnnHMHLJ/BZgEwNhwlVkFwwb+uQ5464NJweQrwpAVXGeuAqeFotdHAWGB+Z2WG2/wlLIOwzIcAJB2R9XnnAy/38n4655zrRt5Oo4XXYKYBjwFx4E4zWybpeqDezOqAO4B7wgEA2wmCB2G+OQSDCVLAVWaWBshVZviR/wrMkvR94MWwbICrJZ0flrMduCxf++yccy43FXrIZDGqra21+vr6QlfDOefeUSQtNLPaXOt8/KFzzrm882DjnHMu7zzYOOecyzsPNs455/LOBwjkIGkr8Prb3HwosK0Xq9ObirVuxVovKN66FWu9oHjr5vU6cAdat6PMrCbXCg82vUxSfWejMQqtWOtWrPWC4q1bsdYLirduXq8D15t189Nozjnn8s6DjXPOubzzYNP7Zha6Al0o1roVa72geOtWrPWC4q2b1+vA9Vrd/JqNc865vPOejXPOubzzYOOccy7vPNj0IknnSFopqUHSNQWsxwhJf5G0XNIySV8P06+TtEHSovB1XoHqt0bSS2Ed6sO0wZL+JOnV8N9DDnKdjs06Losk7Zb0jUIdM0l3StoiaWlWWs5jpMBN4d/dEkkTD3K9/lvSivCzH5Q0KEwfJakl69j9PF/16qJunbafpOnhMVsp6eyDXK/ZWXVaI2lRmH7QjlkX3xP5+TszM3/1wotgyoPXgKOBCmAxML5AdTkCmBgu9yeYDns8cB3wz0VwrNYAQzuk/RdwTbh8DXBDgdtyM3BUoY4Z8AFgIrC0u2MEnAc8Cgg4DXj+INfro0BZuHxDVr1GZecr0DHL2X7h/4fFQCUwOvy/Gz9Y9eqw/kfAtQf7mHXxPZGXvzPv2fSeSUCDma0yszZgFjC5EBUxs01m9kK4vIdgwrhhhajLAZhMMGU34b+fLFxVOBN4zcze7lMk/m5m9leC+ZeydXaMJgN3W2Aeway1R5AHueplZo+bWSp8O49gptyDrpNj1pnJwCwzS5jZaqCB4P/wQa2XJAGfBe7Lx2d3pYvvibz8nXmw6T3DgHVZ79dTBF/wkkYBJwPPh0nTwi7wnQf7VFUWAx6XtFDSlWHaYWa2KVzeDBxWmKoBwSR+2f/5i+GYQefHqJj+9r5E8Ot3n9GSXpT0lKT3F6hOudqvWI7Z+4E3zOzVrLSDfsw6fE/k5e/Mg00Jk9QP+B3wDTPbDfwMOAY4CdhE0H0vhPeZ2UTgXOAqSR/IXmlBn70gY/IVTDd+PvDbMKlYjtmbFPIYdUbStwlmxL03TNoEjDSzk4F/An4jacBBrlZRtl+Wi3jzD5uDfsxyfE+0682/Mw82vWcDMCLr/fAwrSAklRP8Ad1rZg8AmNkbZpY2swzwS/J02qA7ZrYh/HcL8GBYjzf2dcnDf7cUom4EAfAFM3sjrGNRHLNQZ8eo4H97ki4DPg5cHH5BEZ6iagyXFxJcF3nXwaxXF+1XDMesDPg0MHtf2sE+Zrm+J8jT35kHm96zABgraXT463gqUFeIioTnge8AXjazH2elZ59f/RSwtOO2B6FufSX137dMcHF5KcGxujTMdinw0MGuW+hNvzSL4Zhl6ewY1QFfCEcLnQbsyjoNkneSzgG+BZxvZs1Z6TWS4uHy0cBYYNXBqlf4uZ21Xx0wVVKlpNFh3eYfzLoBZwErzGz9voSDecw6+54gX39nB2PUQ1ReBKM1XiH4NfLtAtbjfQRd3yXAovB1HnAP8FKYXgccUYC6HU0wCmgxsGzfcQKGAH8GXgWeAAYXoG59gUZgYFZaQY4ZQcDbBCQJzo1f3tkxIhgddGv4d/cSUHuQ69VAcC5/39/az8O8nwnbeBHwAvCJAhyzTtsP+HZ4zFYC5x7MeoXpvwK+0iHvQTtmXXxP5OXvzB9X45xzLu/8NJpzzrm882DjnHMu7zzYOOecyzsPNs455/LOg41zzrm882DjXIFIulrSy5Lu7T63c+9sPvTZuQKRtAI4y958U1+Z7X+opXMlw3s2zhVAOE/J0cCjknZJukfS34B7wjlNnpb0Qvh6T7jNh8KHMz4kaZWkH0i6WNJ8BfMDHRPmq5H0O0kLwtd7C7irzgHes3GuYCStAWqBacAnCB5Q2iKpGsiYWaukscB9ZlYr6UPA74HjCB5Zvwq43cy+G058NdrMviHpN8BtZvaMpJHAY2Z23MHeP+eylRW6As45AOrMrCVcLgdukXQSkObND2JcYOHzqCS9Bjwepr8EfDhcPgsYHzz6CoABkvqZWVMe6+9clzzYOFcc9mYtfxN4AziR4FR3a9a6RNZyJut9hv3/n2PAaWaWvZ1zBeXXbJwrPgOBTRY8Fv8SgmmqD8TjwNf2vQl7SM4VlAcb54rPbcClkhYD43hzr6cnrgZqw9kplwNf6e0KOnegfICAc865vPOejXPOubzzYOOccy7vPNg455zLOw82zjnn8s6DjXPOubzzYOOccy7vPNg455zLu/8PtSkBsEHf8kYAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 432x288 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "aly.power(variating_tone_framed).plot(xlabel=\"frame\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The two-dimensional images of the autocorrelation function over time can be used to clearly distinguish the monotone periods at different time by the stripe spacing."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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fUpi0PuSZ0dFCVb9NZBVEVb9HyQxc01PuTbbwemwP3zgNmRh/m2StQ78qfMP4J7UPpz2j9ZwONGNScetNK7vHl1++f/f4xk0rfOQZGa3H4U0LADCbZ0YnAqtXbuset92QqcvAi/G3vV2q8k+qrCuWb3fOG+KtW3Ie74zJxM2bemH2fvz7td3jy6bN1pNRBiaP8dUdMD3GU4ZvHHqn1FV3+al1jVPv5w4tdUzIM6OTgZ3W39K0CBkZSZhZ0nP46MyI5qD3GZOK25xl+mult93kd1Mm5JP74a9qlLm07nGHNmbI+HjKyFXEUOoclyk/RZcycqXqnaJLTK5R9uFMxAV+kjMwecOBTRgaM0ZFZBq4CLhKVR86cO2ZwHMwIZtuAf5eVS+1sUd/DvzCkn5fVZ8Zq2unnTeOUO569/iMEnXvsfHxtV2/VL6m+tAN4zRn04Bu25ZnRjMmE+6zs4v29vLvP29mTN0Pv29r4Vxgv6GPz31MfYZMKGBBhy9klBWVK8TjkytWfhldQrQdTAfeXyl6l9HFV35Mrrr7MNZWReRqBVonUHk0OTP6fIxhudZz7WPWWQkReTjwL8CD7LVfq+qRZSrayYbEyciYNMw7wYxvuWm1Obcl7xnNmEysWNGLBHHXvXsB8A+62cz2j3OfeZmtOXXsDS/DNw69fTzj9GuYVLnaAMlxRtMgIvsADwFOB140eH0gVNMqKu6IWLNTr7g2pRFLTSFXhb+ptHJl+Kryt71dyvDPbus9op3MS3V5hcZQx4zyOGe3mygztdwiPG1apSkqixsjd/e9r+0e98UfzciYKDyhaQHyMn0FvB14KRBMGi8iz8EYqkuB+zmXDhSRnwA3Aa9U1W/FKlux/lan3IWGQmooihh/Kt8w/nGEzSjKX4d+qXx19WGMv25Zt9/WW5Jffmv2OM6YbLgxcve502+6xytsOtBxhDjKoZ3qGcymhHZq0/aqprZijQQ5HWh5iMhDgWtV9UcicnyITlXfBbxLRB4PvBJ4MnA1sJ+qXi8idwM+KyJ38AW9d9OBvu3EIznlrgeaC5EgwF6k5BKuwjeMP1XWunQcxj9OWZvQL5WvBI/7UlxiZ490ftsCloyMScCKVbd1j1cdck3vwmGerVS+Ry706JShHcaTyufjqbv81LqalmuS+rAsbVOYNOPZgyZmRu8FPFxETgSWA2tF5KOqGprr/gTwbgBV3Qpstcc/EpFfY2KOXjTI5KYD3fiqRw63RAJZGhpBzGiqWu4o9UuVtQ4d6+rDSZI1I2OS4GRT0iXmmZB+j5KF6EvJ2HuOxDczFKLtebf40c2h7uEpINdQuoBcyXpHdNHpguU7daTqXVSXjkyp5ffxjVCXVLlagRHvGRWRBwFnAtPAB1T1jADd3wCfAu6uqgvssDIYuzGqqi8HXg5gZ0ZfMmiIisghqnq5/fkQ4HJ7flfgBlWdE5GDgEPw5KUfxLbNvaXOWC5bXyrHFJ5x11WVv+3tUpV/UmV1l+m3bzV7RnOc0YxJhTjRIW69bM/u8fIbbTD82AxPzH0aUDvA60vvGHMFj9VRsXx1Bp1JckX0rlx+ibqitDG9y5Rfoq4UuaJtVUCu6TsNvTwejHT/t0wD7wIeAFwJXCgi56vqpQN0azCO6D8YRb2tiTMqIq8HLlLV84FTReT+wHbgRswSPcB9gNeLyHbMWOCZqnpDrOwtN62qSeqMjHrhOjDdttl4HLspFTMyJgnu/fy7H9+uezw9s3BUVmafehudFtvqgNm0XE314Sj9AlzaI6LBJeuHllhhK0B5DPArVb0CQEQ+AZwEXDpA9wbgjcA/FK58CBo1RlX1G8A37PGrnfPPD9B/Gvh02Xpuun5dmoAZGQ3DDe20zc6IbtuaZ0YzJhO3OU54v/zlAd3jTTflRA4Zk4kjmhYARr1ndG/gD87vK4F7uAQicldgX1X9gohMvjE6Lmz8c88YbbtXeIy/TbLmKAT196Ev6H1GxqRi67Yl3eP/+0MvxPTlYpzypC97Tw9ltsR1+FwedbxQpJu9x48On48nVH5RmUJyhfQexuPyVW0rly+md0yuxdaHMb2fU6CM2lHCm9517rZ4n/WxKco/hYn9fkrhSgugdcaoiPwWuBmTfWlWVY8euL4O+CiwH0b+t6jqh4aVecP16xeccz/4KXEhU2NJluGripR6x9kuVVFV1jJ8TfWhmw509WoTo3HJku0h8oyMVmNqqjerf6MTZfzqaeNlHzNkNOA+HTM0fHzTwVSSC3lSyi9ilBU1RuciesfKLyNXGWPUJ9c4+jBmjBaVK9ZW4L9PWhdjvsQyvevcHcBVwL7O733suQ7WAHcEviEmI8AewPki8vAqTkytM0Yt7quqfw5cew5wqao+zDo0/UJEzlHVYLybjZt6e0ZjM1WdDc2hPRh1GKPuJmq33hRZY7ONobqKyhpCrF189dYla9E+DMkbk7WOPgzJu2xZz/Bcu/YWAJav2rKALiNjEuDO7u/ipLbZb37hvn7HublnyBTwV/EaGuV9gkZaftBYLO8T5KVNLd9rLKb5BI20/A5fbMKv7j4M1dG6SEqjFehC4BARORBjhJ4MPL5bleomYJfObxH5BsYRfbK86UcABdaIMclXAzcAQ9N33FrC+3jKc+fN93nhmf+ux7OPZ5Avpa4YOvwpPKF6Xe/umI4p+hXhq8pftA+hp2PTfViEf3pmDoBly3Oc0YzJhM71Xip3OeDG7vEBNy9M6FB3IPm6tyw1tSWqab1HKVfdupS5n8qUP3aMMESgqs6KyKnAlzGhnc5W1Z8NOJmPHG00RhX4ipg74L2evQzvBM4H/oiZLn6s6vAAO+7V2EtjzjMl773x5ofzRPmJD2ZGJqvDF5K1Dh1T9IM0WVPbpaNjW/vQNyM7zm0CGRmjhDurf6ejftE9npqea0KcjIwR4MlNC0C1hOme4lQvAC4YOPfqAO3xo6izjcbovVX1KhHZDfiqiFymqt90rj8QuBiTIvRgS/OtwSxM7ibdJ655EsetPB7wzzqFZsU6SOGJ8ddVb2pdPv6qOtYl6yj7I6VdytRbtV2WLOl9pDuG6ez27MiUMZlY4uSg39tNB7r7pgW0vm0rEkhCEQtt4+ML8ZShrcJThq8pvVPkSpGpTPlF6mparnHDXXGYVLTOGFXVq+z/a0XkM5iYV64x+hTgDFVV4Fci8hvgMOCHA+V0N+mee/C7FYrtsxvncnQbl+nL8I1zmb6upe9hPGXqrUvW5c6e0Xn7wonFGa3L2aoOx6+6nNCacN4btyxtcqYsKosbT3Tlftf3zh9mXQRcdtcI6AZMDwng4esLaO6hjaVx9vEUKX8YT4gvRDuMx+WLlV9GrpjeMbkWUx+G6mqZMboYMvm1yhgVkVXAlKrebI//Cnj9ANnvgROAb4nI7sChRLIw7bRhQer6jIyJgPvx7nzwt9yWYzJmTCZmlga29/s8Snwf/FgsH5fP/T77PGlCBkWHL+QVVFQud+dByOgpqneqLilyldG7jC6+8mNy1d2HofJ9chUxXJtC2/awJqBVxiiwO/AZGy5gBviYqn5JRJ4JoKrvwUT9/7CIXIK5JV42xPMegA07L1wCysiYNHTSgM7P+9+a45wpi9VVhyxtCseW2y1Nlk5KW4DNv9+5e7zSzvr37bHuMx7CZQb5nMekaiaiyuV7dCkjV1Tv1PJT27ju8ou2setun6J3hKePL9DGS//SyzZe5JnR0cKmn7qL5/x7nOM/YmZMC2P9bjeWkKH8C9jHX6aMNn0s6uJve7tUrbeudplz9ofqDesW8GRkTBLc0E6/uej23eOZ/zXTT8NdUdPhRgYpWkcKT1l06ihTft1ypZafoksZtLUP7/T0esotA0371LUKrTJG68LKdbd2j6Mjps7lwPe+TEgIX51ePlck53KKrNHRXaCuwrIGEG0XT71Ny1qGr/Y+HODrYNaZSeqkUsze9BmTiu3be5+cSy85pHu8MacDzZhQ3KlpASAv008Klq7c2vuREsE29vEP8afyDeNPlbUOHevQrwrfMP4J7UPX8FxqnZncFKEZGZOEOcfr97Ir13WPL583e0klshmvSPaeonxleOoovwzfYtJ7FLq0Sa5nD706HmRv+gSIyKHAuc6pg4BXq+rbHZq/BV6GmSu6GXiWqv6vvbYe+AAmHZUCf6eq3xtW59SMJ4adayS4cR3t3otg6IYOn4dnAWl3k7S/Lh9/X70RQ6awrA5fsK4hPKVkDcXj9PFFjNFUWVPapZSsNfRhSF6ZdiP0m+uuU1NGxiRhyrnHb3Jey9fMmAmDKXfbioc/NDSMmX0+vhBPbN2hqFx1lz+sjmF8TekdqydW/rzzLu3cJ2V0qUuuViDvGS0PVf0FcCSAiExj0k19ZoDsN8BxqnqjiDwYE6LpHvbamcCXVPVRIrIUWBmrc85ZGiq8kd15USZnYJgL84+03ghPFb4q/ME2alG7DOV3yqhd1kBd87POnlHruDQ3O3wUnOrQ0kSIonGGU2qTLFXLdGmabrcysrjXd1nSO9531mxBce9scQdtli80DPPxqfsceXimQwNnT10p5cd0cflCtMN4XL5Y+WXkiuntYs7T3+PoQ5/eKXLF2gr894mWeObGgrxMXxknAL9W1d+5J1X1u87P7wP7AIjIOuA+wCmWbhsQzY247dbhcRkzMtoK1/t4mz2e3bYkRJ6R0Wq4jhaHH9iLM7rXTb50oMP5Y7QxvhBPzBmkqFx1l59aV1N6x+ppSu865Bo3FoNTa9PG6MnAxyM0TwW+aI8PBK4DPiQidwF+BDxfVW8NMQNs3rS6qpwZGY3AzbbUMUy3bV3alDgZGZUws6QXZ/SwO/6qe9xJB5q6glGGr44IGWXCMfn46opMkiJX3VFMJqkPy9TVKBbBzq3GjFG7xP5w4OVDaO6LMUbvbU/NAHcFnquqPxCRM4HTgFd5eLvpQP/xiAfxyH2PHKn8GRnjgPuC3G5nRGdnmx5DZmSkYdrZv7/X4b0FsRV7bFpIHMv4k0o7jCeVz8dTd/mpdTUtV1N9GNtXOUq5xozswFQNDwZ+rKrX+C6KyJ0xjkoPVtXOes6VwJWq+gP7+1MYY3QB3HSg/33MGbrxhlGKnpExHkw5DkxLlmRv+ozJhnvvrtzrxu7x0sOuNQfuh9+dqerMThUxGDp87oxWVaOsavk+XcrIFdM7tfzUNq67/Lb0ocsXauM2IC/TV8LjCCzRi8h+wHnAE1X1l53zqvonEfmDiBxqHaFOAC6NVbRx05rCQqU4K5VybqlYl48/NcZmmXrH2S4+/qo6TqqsS5f0ctPvvKv5eC9Zun0BT0bGJGDajQ7R9Ac0WH/DhoZXrhYYP22Uq619OGbkPaOJsHnnHwA8wznnpvx8NbAz8K82Neisqh5tSZ8LnGOX+a8AnhKr71bHgalNRlfd+33K1DnOdonx16HjpPbh8uW95Zdd7azSshVbF/BkZEwC3FS2t16104Lr/Skbm13iDQ4wF/kyfWW9Y3Ul9qFXrhYs0y+///Bix4Ic2ikN1uFo54FzbsrPpwFPC/BeDBztuxbC1u0L1XS94VxvualO+IlQ2A8N8wyiU0aoLh+/W2/MI7CorC5fqK5hPIN8w2QNeSz66o15L1aVNbVdXIyrD0PyLnHSJ3ZmlWaWeOLmZmRMAGadSf0/XrZf93jJFXssoG27I81icjpqq1xt6MOY3oeeGi2ifuSZ0cnAdIk9dl3jxJnmTw0vIRFGH1+Mx8efwgPVdUzRrwifjz9F1knqQ+jJ67L79ofOz03+iydjx4Q7M/rTiw/uHt94kwkXHRoUdvkDH90yfDHaFB6fXEXq6fAVlWkccqW0lcu3GPqwjN6HFqasD20LNZWCppbpX4iZ+VTgEuApqrrFuf424L7250pgN1Vdb699CfgL4Nuq+tAi9a1cEQ1FmpHRSixb1ptKmrdLMdsjoZ1SZyNimPSg91XLbJssdc/Q1SGLW9avr1zfPf7VrF0ijszwhIKNp/CFeMrQVuEpwzcOvVPqqrv81LrGqfczFlwdP7I3fQJEZG/gecARqnqbiPwHJt7ohzs0qvpCh/65wFFOEW/GGKiF74G1a4eGIc3IaC2WzPTiMs7ZJftZz7aTjIxJgBvaabMzw/9nMRMGU85Sge/zOhtwTPHxuWsK8w7fFJ0ZPL+M893/Dk+CXCEen1xTTtJJn1xBXWwdsfJdzASWgbx6J8gV09snU0iuuvsw1lZF5GoF8jJ9pXpXiMh2jGH5xyG0jwNe0/mhqv8tIseXqWz9hpsSRMzIaB6+Tfs5zmjGpEIcx48Ny3uG6d6bjZNpX8pGD79rLrgGwfQg4RDabirJgIwdvmBaTA+Pbxe3T6aQXKl6x3SZG6AbRpuid4oublvVpXfVPiwjVxug2YGpPFT1KhF5C/B74DbgK6r6FR+tiOyPybr0tSp1rt1ws1Pm8GU0vxzleWL8ddXb1hBFRXlS+VJlTWmXMvVWbRc3D/3mW1YOlSUjY5Jw+wOu6x7vfvPKBdcXazrQFL7FpHdOB1oD8sxoeYjIBuAkjJG5EfikiDxBVT/qIT8Z+JSqlnYfdjMwnX7Pe/O4Qw8rxtgZYZTJsJAawsPHn1JvqqxVday73nHK2nQfBvjcPPTbtnRClOU90BmTCXcgdfBhv+0eTzvbUTIyMsohxxlNw/2B36jqdQAich5wTyBkjD4npRI3A9PVz32iwpa+6+5ykTvFHduI3+Hz8SygtWWE6vLxu/X66vLxxWR1y4g5I8TapY82QVaXTwJG27hkDdXl46vah320AVl9Om53goRP27zeUzM5tFPGZMJ1tNjjkCu7xyv32GgORhkLMsZXd4zKIkuno8rANEq5RpmBqWr5qXXtYOlAc5zRNPwe+AsRWYlZpj8BuGiQSEQOAzYA36ta4bSTsUY8u8+1xG7kDn8KT9l6o7J2DJk+4yetLh9/VR29skJX3qisHp5CdUWQomNtskbaZd75eE9PGyM0L9NnTCpmpffJWbnbpu7xskOuW0jsezZDTsOx59jHF+IpQ1uFpwxfU3rH+EbVVmXKL1JX03KNGfPZGC0PVf2BiHwK+DEwC/wEeJ+IvB64SFXPt6QnA59Q7d+dISLfAg4DVovIlcBTVfXLheuP3ZC+GTJ3j6GPPzRF3knXGaozpa4IkvRz6h2prLFQGokuia3qw5goI+zDlFA+GRlthXc1wr333XA1nZmo+cC978sU5M5e+fhCz3yojkG5ypQf2o5TVK6Y3qnl9xkxkZdVUbliehfpQ1/5Ptf8Mn2Yco8UkasNyMZoGlT1NTge8havHqB5bYD32LL1zUbiMpZB1Xzwbd/bMUmypmKSdHT3jHZCO83Nhfx0MzLaDXeZ/pY/bvAQOFtYnA9sd7tLaCDm4evbIuNzJAzEZvTWlVB+VJcScsl0aIQqpcsv1cYB2qFyjaMPR6R3lKdAXSsf5mcbJ9r+HSuCHSJGzNZbljctQkZGEma3O8aojS86twgCHGfsmHAziv3pV3t3j5f8YTcg/lEdRVSLOiKLpEb4qHtyo2o0jxS5FkMfltH7iMKUNSIbo5OBWzaublqEjIwkuOkTZ2fNjOh2Z7Y0I2OSsMTZv/+by/fvHt9864omxMnIqIw2GKN5ZnQIRORs4KHAtap6R3tuJ+Bc4ADgt8BjVPVGD6835aeICPBPwKMxMWrfrapnxWTZdMO67nHM09qHccbLjPGnylqHjnXol8pXVx/G+OuW1Z1JCkUfyMiYFLj39uW/26V7/KvNC7eeNOF7U5a2Ck8Zvqb0jvEtJp+jVLmeECl3HNC50RqjIvIg4ExM7oYPqOoZA9dfhEnpPgtcB/ydqv6uSp11zox+GHgn8BHn3GnAf6vqGSJymv39Mg9vKOXnKcC+wGGqOi8iuxURZNOmNYWFnsTg7TkAf7zetvdhiH/Gib+4dt0tQP/sUkbGJMG937ds733mN4m5z8VNP+nwdf1VArlvfHx9QSs8fBLI3xOjTSk/lK6zqFwxvVPLT23jussv2sbTDk+K3jEel8/VZa5lOZhGOTMqItPAu4AHAFcCF4rI+ap6qUP2E+BoVd0sIs8C3gQ8tkq9tRmjqvpNETlg4PRJwPH2+N+Ab+AxRoek/HwW8HhV42+sqtcWkeWWWxYuAYXiO07Z4/lA5/o8mqcChkynjFgsSZffrTc2q1ZUVpcvVNcwnkG+YbKGjDpfvbHZxqqylmmXMrLW0YcheZcv6xmeO+28yfDkOKMZEwrXOWfDqt69vedG42TqZrsZ5QzhnOun0nGkDtB2jSYPTxm5iszadeooU75PrlHMENat9zCeIuXXpXdVuVqB0S7THwP8SlWvABCRT2Bst64xqqpfd+i/zwgmiMe9Z3R3Vb3aHv8J2L0k/8HAY0XkEZip4eep6uUxpq1bi++xKxqkPBbY3OVLDYheVNYUnlC9o5Q1VlcMqfwpgebrqiuGGP+0s0zfWbJfsiTPjGZMJtw4owfs14stuvMGXzrQ4qsObVwNaesqVNNyTVIfpso1bpT65jjZKS3eZ5MEdbA38Afn95XAPYYU+VTgi4UFCKAxByZVVSkfMHEZsEVVjxaRRwJnA95QT26Dn7L+idx31X1svcMfzlh2He+5SFzIsnzD+FNkdfmKZEjynvNF8Ig9kAn6QZqssXpDPN3zJfowVleMv0wf9vFbwzXHGc1YDDjgdr3vnS8d6KQbMk0bfW2Vq6k+HKVfQOuM0RLyuNkpq0JEngAcDRxXtaxxG6PXiMieqnq1iOwJFFpmd3AlcJ49/gzwoRCh2+AfP/C9avyd4kjZh1kVdYfSGEVdVVF3WI6mMYr9rT6+mSXOfWsN19nZHSIIRsYihHuP73rA1d3j1XtuNNdrCt4dS+c7Kp6yqLq6VYdcqeWn6FIGdffhOPq7Noz2+3gVxjeng33suT6IyP2BVwDHqerWqpWO+6t2PvBk4Az7/3Ml+T8L3Bf4DcYS/2URplUrt8SJMjJaCNdZqRPmaXZLDnqfMZlwB18rd76le7z8gD8voPUGWS+xnSYWfSJkcKTwldmuM6ryU+tqSu9YPU3pXYdc48b8aL3pLwQOEZEDMUboycDjXQIROQp4L/Cgor47MdQZ2unjGGelXWzaztdgjND/EJGnAr8DHmNpjwaeqapPs79DKT/PAM4RkRcCt2BCC0SxZu2to1QtI2Ns6OSjh16w+xxnNGNS0T+4crajdI77tgZ5trCE9sV4EkH0ZZL2ZRUKbgPqeBV5eMrIFUhO4ZUrVn6qLilyldE7RZc29WHfbKhfrKhcbcAIZ0ZVdVZETgW+jAntdLaq/mwgZfubgdXAJ03ETX6vqg+vUm+d3vSPC1w6wUN7EY5hGUr5qaobgYeUlWXtupvLsmRktA7brBHa9i0LGRkhuPfurdes7x5PdZZ41U/bQZ9TpWtb+GavArSdOmJ7BH08ReQaRheSK1XvorqUkStV76K6TLkGYM16x3SJlV9EruKBI+vDqL8JqnoBcMHAuVc7x/cfaYXsIBmYVq27ZcG5SdinWXX/6jj3aTaxf7WufZqjrKsq/7yTh377jeZxdWdLMzImCe5zcM1v9+ge3/DHXRbQxsKphRALM+crPyRjlfJDddWdKGMxyTUJfXiHwiXUh8UwQTHuDEyPBl4LHA4cY2dEfbzrgQ8AdwQUE93/e0X5B7FizW2eOvzGgS/um4/Px7OQdnhdPv5QvT4UldWtN1ZXrF36aRfyhb3Wh9ebwlO1D12+pvswxLfdCUs2fdMq83+6dVHuMjJK4w+/6eWmv/mWhaGdMjImAW0wRnNu+uH4MAszMP0UeCRm4+swnAl8SVUfJSJLMdmYyvD3Ycnybd3j6LJF53IJYzSYjKGgIdPH7zHwqsraxxeoayjPIN8QWYMjNE+90bAcVWUt0y4lZK2lD4fI20Enzuj0koVhcDIyJgFzzkz/lX/aqXv8mxuWLaCtGvR+lKkkU+qqu/zUupqWa5L6sAjt4z3Xx42J8/73YKwZmFT15wAyZOpIRNYB98Gk/kRVtwHbivL7MOXOJHmMA4mNKlJ4Avx9XHXUGzDwxqVjVf0K1TvKdukclOAfZx/2GbN2r1Veps+YVHQiQgDctqX3+fmzXSJwP/y+p8R9mlyDwBdfIkTbqSP0FHb4fDwhPt8TGYp54ZMrVe+YLilyldE7RRdXprr0rtqHZeRqA7IxWg8OxGRX+pCI3AX4EfB8VU12iZ+fjSUC66HqXhIXRcuoe1/NKOtyUXe945S16T4M8fU5Zthjd3ZplLLEUFe5bcFi1w+a19Gtf93qXmjCvW5buEw/5Xkk5wMi+2hjfCGeUB1l5YrJVIZvMeldRpcUmdog17iR94zWgxngrsBzVfUHInImcBrwqjKFuBmYTr/nvXncoYeNXNCMjLoxu3Vp97gzqzS3ZamX1ufNGvIQrXrdV1dMlrpkbZMsdcjaJlli5ZaRZZ+9e+lA160x+6FlyqWNbI0JwLuv310cm1pYvovuPnIPT6j8ojKF5ArpPYzH5RulM2dM75hcsT4Mle+Tq6reZfowJlebk7C0TZ4UtNEYvRK4UlV/YH9/CmOMloKbgenSRz9fb8vRnTImEK43fWeWdHZ7Gx/bjIw4pmd6i6H7OBmYOulAx+EJ3qYVq3F55o9z9awNnv8pPE2vGlRBXqavAar6JxH5g4gcqqq/wMQlvbRKmbduWj0a4TIyGkTnZRlbps/IaCvc/fs779ObGV29+8YFtLGZ1VTaYTypfD6eustPratpudrUh0XcT1LkGjvyzGgYgQxMNwDvAHYFviAiF6vqA0VkL+ADqnqiZX8uJtPSUuAK4Cm2zEf4+GOy3HLzqu7xqPYTjmNP6Tj3Ptah4yTImjLCLlNv1XZxnZWWLd+64Fys/DLXU/mGXa9aZghNyeJb3qtDx6ZkSWm3kCy+625Zy9f33ACW73v9QiZfWaFnpwztMJ5UPh9P3eWn1tW0XE31YaKTa5JcY4brGDipaCID02c8tH8ETnR+Xwwc7aH7jI8/hltuXrg5PvQCj8fLHP2yRzhe5vCPRVFZXdp4vMx6lmj8sT2Lf7jKyJrSLjHU3YchWjd94oqVJl7u1NIcZzRj8qFuPm2bcrHvGXCXHqcWvhP6yvLxTfmfs179/g+4eOL4JpUf0aWMXD6Z+uooU35qGxeUazH1YR9foI3bgLZlJ01B65bp68AWx+Fj3vPBn4oYJD6eIvypfMP4U2WtQ8c69Evlq6sPY/x1y+oOozpp9HKc0YxJxfxsb4vJLdet6x7LtOeZ8O2DCxkBZWiH8aTy+XjqLj+1rqblaqoPY/sqE+VaP7zUsSA7ME0IZp09dr5Om09cTo7xp/IN40+VtQ4d69Avlc+NERedDShRZ9N96N67ndF+jjOaMalwlxOvu3K37vHGazYsoC2zxaWN24Tauj2rKbma1tvHV8bJLFT++mgJY0B2YBqOQErQNwAnYeLRXgucYpfpB3mfDLzS/vwnVf03e34pJrPT8baMV6jqp4fLEZ+KH3Y9ZpCUeUHG+Ms8vLE9Y7G6XKToWHWPXxlZq+rY9j50+dxz01POctP88O0NGRmThKuv3L17fJNNdVuXF/M4venLYJze7nWXn6JLGbTVm/5OhSnrw2L4JtQ9M/phFqYEfbOqvgpARJ4HvBp4psskIjthHJ6OBhT4kYicr6o3Aq/AGLe3F5EpYCciWLZse4ykUbjLtrHlZB9fGZ6mkKJjars0gap9GOKbcZbkOy+c2W1LFtBlZEwC3I/mNdeu7x5fca0xRt0A4+7TUMa86fC5PG6Q8k4doae0Q+rjCZVfVKaQXCG9h/G4fFXbyuWL6R2Tq019WKb8GG2Z8seNbIxGEEgJepPzcxX+fn0g8FVVvQFARL4KPAj4OPB3wGG2rHngzzE51qzeXFjmmPPLMJ5BjNJzdhjfKL2Qi/BV5R9Xu7hoama0Kp9rjHbjjM5mYzRjMuFuMdmytff52WQXAEJpGLuGUqBcH1+fIeOTJVCWbxNMSvkxXcrIFdqY40uLWVWuUBsXlWscfZiSBjWlD0N1tc0Yzd70iRCR04EnAZuA+3pI9gb+4Py+EthbRNbb328QkeOBXwOnquo1w+pbvfaWihJnZDQD11jtZmCazXFGMyYTU862k7VreulA97hlYVaxMk6To3QkHJUzZ93lD6ujSblG6Qw6Sufhcco1drRNngQ0Yoyq6iuAV4jIy4FTMUvyRTAD7AN8V1VfJCIvAt4CPHGQ0E0H+uq7nMCjDrhz/3VnIKElIuV0+FJ4yvJVRUq942yXqqgqaxm+pvrQHfFu2bzcyFLTnqyMjHFiz917sUXXrLptwfWmnG9GtX9+HPvzJ0nvWD11r2iNU65xY5zfpLrQtDf9OcAFLDRGr8I4KHWwD/AN4HpgM3CePf9J4Km+gt10oJc/4dkKW4B2evSNoq6q/G1vl6r8bZK1DM/stt4juvW2ZUB/7NGMjEmCe2/vvs+13eO9lyy8p6saZXVtzWmTMZpSV9NyTVIfpso1brRNnhSM3RgVkUNU9XL78yTgMg/Zl4F/FpEN9vdfAS9XVRWR/8QYql+jYKrQZSt6y0Gj2vs4jj2lMVl93ott2Pvo4/d5KsZkDXk3Nr1/1Vdvqqxl2qUTZ3RqJscZzZhMuHFGN+zRmxn1pQPNyMgohmyMRhBICXqiiByK2S/8O6wnvYgcDTxTVZ+mqjfYEFAX2qJe33FmAl4G/LuIvB24DpsqdBjKBAlvelat7lAakzAzWpV/EvswxO86fHTO5zijGZMK935ftqa3NL9ir40LiWPeNzHaGF8RT5qidTVRfmpdTekdq6cpvWN1pcg1ZmRjNIJAStAPBmgvAp7m/D4bONtD9zvgPuXk8M9a+a4X5S/S+T5jMaWu0HXtpjTzl5VSb1VZQzzal0ptoXy+cl0emVoo1yjadVTt4tNvkM/H79MxNHOakbGYMD/rPChzC5/5UeY1FydfYreO0LPVWaGY8vCUkStSvltHmfK9chWoq6hcqXoX1cVN1Vm33n08gdShVeVqA3RH8KYXkXsBF6vqrSLyBOCuwJnWKJwIuPvuOhD3XitxX3X4UnjGUVfVeptqFxfjknXcdaXwz3myh83ORh7bunIop5Qb40mVtQ4dJ6ndXJqm262ELK5BsHnj6u7x9G93XUhbcb9j06shbV3ZaUrvWD1NOx2lyrVsaKnjwWKYtCgyM/pu4C4ichfgxcAHMEHsjxvG5Mu+5Fx7McYLfldVXRAnVETmgEvsz9+r6sPt+VOBFwAHh3h92La5DbdLRkZ5zG7vxRTtxBmdz3FGMyYUbmin66/epXu86br1C2hjq0QhFN2+VNUoqytrUlWjbDHJ1YY+jOm9c7SE+rGjGKOz1nHoJOCdqvpBEfF6sA/gwyzMvoSI7ItxSPr9EN7bVPVIz/nvAJ/HeNYXxuZbVpYhz8hoDdzQTt2Z0e1NB8HIyEiDGwniWscY7aQDdVF3Zrqq8TZHmWktJlcZnsUkV9PlF6nrLoVLqA87Sminm2080CcA97EpOKNTM77sSxZvA14KfK6MoLbMnwBIaH03gGyMZkwq3BG4O6uUkTGJcGdwrr9hXff4t1evAejLchMzNFzTyMfn8vhoY8ZomfJjCOnSORvSexiPy1em/JhcMb1jcsX6MFS+T65x9mFMrjanp95RZkYfCzweeKqq/klE9gPenFKZnV29SlX/N2JQLheRi4BZ4AxV/WxKfR24xqhvv17Mto3t8UvlT+EbZ11V+SehXary1y3rkqW9SBArV5m0ttMz2Zs+YzLhDq62b+/th75p1jwU/SkbFxoKxVJJLjRE/Gk3/Q+ir66U8mO6uHwh2g7i6UCHl19GrpjeMbnG0Yc+vVPkirUVuGlQ/W3cBuwQ6UBV9U/Av4jIWhHZCbgFs1ReCiKyEvhHzBJ9DPur6lUichDwNRG5RFV/XbK+bgamZ+/5GB644Z5A2ibmcQbejfHXFTB+nO0S42860Pwo+Ibxl+FZNt+LkbtqtTFGly7fNpQ/I6OtcOOMrl65pXu82wqTXWzKeVxGGZh83rncqSP2zPt4yshV5J3SqaNM+Sm6lJErVe8UXWJyjbMP5xznvlQdmkLb5ElBEW/6ZwCvw6Qw6vSKAgeVrOtg4ECgMyu6D/BjETnGGrxdqOpV9v8VIvIN4ChMHvrCcDMwffrQd+l2O8EU21shngFGCs+466rK3/Z2qco/qbLOLHHG5TnOaMakw/ng77rbjd3jFTYxicS88ecDhkwCXxmeOsovw7eY9B6FLm2Sqw0YtTEqIg8CzsRMDH9AVc8YuL4M4w90N0xmzMeq6m+r1Flkmf4lwB2Leq6HoKqXALt1fovIb4GjB8u1WZc2q+pWEdkFuBfwpip1Lya4hkrMEJpUdHScVP3q2kwey9CUkTFJ2MXJwLTHvn8aQpmRkTEMozRGRWQaeBfwAOBK4EIROV9V3WyXTwVuVNXbicjJwBsxWzqTUcQY/TUmH3wp+LIvqao34L2bfQk4HHiviMxjtnmc0WkEEXkexvlpD+D/ROQCyzMUM+5M0nSYztRhPvR9nVuQZxDjSsGZKmtVHceZgrNuWZvuwz4+Rz93FrRwnNGMjJbCfTbW7rypd7zHjfb6cP7U2MR1xxZOjSdcd9zqFLnqjjU9CX2YGtu7MQRmdRNxDPArVb0CQEQ+gUnd7hqjJwGvtcefAt4pIqKa3nJFvmovB74rIj8AuhvYVPV5w5gC2Zfc6wc4x93sS6r6XeBOAZ6zgLMKyNyH5St6e5Pavt8w1ZCpUmcq3zgNvKr1tqldyvAvdRyYOufnPEkcMjImAVPOkufSVb338vJdbzIHsWenTAamGN8oshZV4SnDNw69U+pqovwidTUt15gx4mX6vYE/OL+vBO4RolHVWRHZhAm5mryCXuSr9l7ga5gg9BMZW2als1E+I2OS4IZz6ow5c5zRjEnFzJLe4Mp1ZlKbGrTvo+oeR7aoePkcWu+gL+CBLJ4QaknlR3QpI5dPpr46ypSf2sYF5RpHH3r1TpEr0lbBulpmjM6XmBl1nbst3md9bBpFka/aElV9Ue2S1IiVq27r/YilJPQhhSfGX1e946yrKv8ktEtV/qqyOrSz9uO9GDwnMzI2b+oFup+5aidz4MZ9TPRQ99K6x50YlDGvbg9PGbkKeY13jsuUn6JLGbkq6h2ra6x9OAa52hDFvMw3wXXuDuAqYF/n9z72nI/mShGZAdZhHJmSUcQY/aK1pP+T/mX6G4Yx+dKBishrgacD11myf1TVCzy8z7d0ArxfVd/uXHsu8BxMKLEvqOpLYwqsWO0Yo+NcghnGX1e946yrKn8bZC3K11AfzjmxGOduXQHkOKMZiwNuCtCbb1zTnCAZGRWwW5ykdox4guJC4BARORBjdJ6MiTXv4nzgycD3gEcBX6uyXxSKGaOdvZ8vd84p8dBOH8aTDhR4m6q+JcQkInfEGKLHANuAL4nI51X1VyJyX8zG2btYb/tC98HSFb1YjaPaT1h1X2Bd9bZ172NRnlS+umKexvjrlnWbLO2dt26ES5ylzoyMSYJ77//5ug3d45s96UDdaBplIlR0+FJ4ivCNq/wydVRtqzJy1VV+Sl1tuEeOKl5EbRilMWr3gJ4KfBnjTnu2qv5MRF4PXKSq5wMfBP5dRH4F3IAxWCshaIyKyF6q+kdVPTCl4CHpQGM4HPiBqm62cvwP8EhMeKdnYbzrt9o6ri1S4IyTD7mqd2FRnhh/XfWOsq6q/OOUtQn9UvnK8MzPeeKMZmM0Y0Ix5+x3vmnT6u7xb/+4Hui/993A4/Ml3rcdPpfHfeY6dUwFnukOn48nVH5RmUJyhfQexuPyVW0rly+md0yuSe3DEO0gzyBfGzDqrVt2xfqCgXOvdo63AI8eZZ3DZkY/YDMufQP4EvBtVR3FV/BUEXkScBHwYlW9ceD6T4HTRWRn4DbgREsLcHvgWBE5HROE/yWqemGsQvfG8s1U9Yd0KLaXJMYT4hugGAlPEf5e2I3mZY3xpcia0ocDFIXrivEV1Q9K7pOyiOWod8scZUzSlHJjPKmy1qFjXbLU0W4uTdPtVkaWeef6rDPQumWbOe7LfONJuqih5zSSoNHHF+IJ1VFWrrrLH1ZHk3KlyFSkfG8GphK61CVXGzA/N6FBuR0EjVFVPVFElmNihT4CeIuI/B5jmH5JVX+fUN+7gTdglvnfALwV+LuBen8uIm8EvgLcClxML9XsDLAT8BfA3YH/EJGDfHsVXI+x0+95bx536GH2vE/XmIFXnsdyWv4yS7zFP2zeGoMzeHXomCprSrs43CPqwyJ8Tfehzi2knZvzB1r1xZ2NxT9Nve6NcRuRJYamZKmj3UJYjO3m0sRkcc8td9Labli5cJ5jesoty/yfD8gy1ecV3c8T4psKPNMx2pTyQzEsi8oV0zu1fB9fkTauu/wO31zE2bPuPgzVEaJtCovBqXXonlFV3SIi91XV5wPYDa0PBt4vIhtU9ZgylanqNZ1jEXk/gRz3Njj+By3dP2PiXGH/n2eNzx/awPi70HOIcsvoeoz98nHP0e3Wh2lUqSJT95rUXW9qXT7+qjq2KTVpiD+lXcrUW7VdZrcv6fHZF85sjjOaMaFwjZOdd97YPV6+3KYDTdzbXYZvlLPTw+QqUk/ds9tVPeBT5GpDH47K878IXxuw6I1RiwcALwNQ1d8A/yoiz8LkJC0FEdlTVa+2Px+BWZL30e2mqteKyH6Y/aJ/YS99Frgv8HURuT2wlAJBVrfetqysqBkZrYA7C9qNM5ozMGVMKGZmejOgG3bp7dDabe9C2/8zMjI8WNTGqDU4nw0cJCL/51xaA3xHVbf5Obv8C9KBAseLyJGYZfrfAs+wtHsBH1DVEy37p+2e0e3Ac1R1oz1/NnC2iPwU42n/5CLhBG6zIXEWG1JSyWVMPhbD/qCMHRM63ftorl5/S/e4lw40toUldWtP+W0VZXhSo5HUsS2jqlx1bUEZJlNdclVtqzJ1NYlJkDGGYVMsHwO+CPw/4DTn/M2xGKMAgXSg3tz0qvpHjKNS5/exAbptwBNidQ/its2L0xjNWPxwc9MvXWbGf1PTE5kILSOjDzPLelFOlu9kDVPno+pdli0Q79e7XByJ99tXl89BcJTlR/jcTEdF9S5Tfmobd+Sqq/yUNva2VQm5ojwOX13Of6PAojZGVXUTsIlenNGJxW0llunbHi/Tx7/YYp76+Nsa89THP0pZlzkf7I4xmuOMZkwq3FUc15DQbnYxl3b4vr++EGgeR5cQbaeO8B7BjqESkLvgfsQiexB9q1tl9I7pMjWlfXRF5ErVu6guUx7HtDLlu3yj1CVVrjZgMayW1bb5LJCB6VzgUEuyHtioqkcG+KcxIZ2uUtWH2nOnAi8ADgZ2VdXoflGA7duWLDgXGuXEDDzfiCpmyMRGVCFDJrYhvKisLm0Zb9eYjimyurTxF0m9sobq8vFV7cMQbUzHaWeWpvNizXFGMyYVbpzR227urVjdfPUGYOAZcB8ze7rQoLFD4pzyPmche8JTV5nyh/IE+IK0Q3j6+CLll5ErqndErsXUhwDq8+h3TrUhd9iinhkdAT7MQAYmVX1s51hE3oqZeQ3h+cDPgbXOue9gPPC/UUaQ+fnho4aYoeFe74R0mIoYPy6fGwbCxxczXkYRBiZmLBaVNSSXr118shaRt2iYmJAsRWV15S0zMxozMFNl9fF5Q5RE4oxmZLQVbpzRm2/svdpvvXlhBqYyM1Lj9J4e5cxolfJT62pK71g9TeldVa69hpY6HiwGv5HajNFhGZjErIM8Brhf4Po+wEOA04EXOWX+xF4vJYv78a465T4dMV585UqJByZmnKTwhPh8mHboYjx9M3wl2jVmRI+qXYrIWpRvHLL66ooNXjIyJhWbHGN0000mG1PTBmRZ2io8ZfgmybBdTH1YhO+uQ6+OB22Le5qCpmLEHAtco6qXB66/HXgpI5oBX+KkA23T3shR1lWVv02y1qHjONslxl+GZ2bJ3ILz7lJnRsYkwb23b3WinFz1p/ULaFOCvxehHcaTylc1qH5K+al1NS1Xm/qwiBGXg96PB0191R4HfNx3QUQ6+0x/JCLHp1bgZmB60UEn8bDd755aVEZGY3DjMnawfYTGaKrjVdFyU525mpalaJmjLjcFk9RuMzO9wdWcs31q89ZOOlB3JWAhfygjT5nsOr6sRS58mYLqzsAU07uMLjG53MxWvjpiesfkSs3A5JMrtQ9990lqBqaYXG1A0++gUWDsxqiIzGAC2YeC5t8LeLiInAgsB9aKyEdVtVRIJzcD0/dPeJWaVPYZGZMF3yzqYvCczNgxoW6oMmfFau0qc1xmn7qLOpZ4U/fPFy3frSNlf77LN4rl6rr1HsZTpPy69K4qVxsQ84uZBDQxM3p/4DJVvdJ3UVVfDrwcwM6MvqSsITqI5SuzIZoxmXBfMp00oBKY2cjImCSsWXNr93i/vc3/WKSJIgZDzDG06P75WLSOUUTNiDmWFpVrlNE8yujtk2ucfRhbFUjtw1TfjKbg9fifMNQZ2mlBBiabc/5kBpboPRmYQmU+D7OXdA/g/0TkAlV9WkyWMsZoWzdkD+NPfZGVqXdUspbhS+EZ5CvKX9XxaxSy+vjc3PQdY9S3dJ+RMWlYt9Om7vGue13XoCQZGZONthnHKajTm94bLF9VT/Gc68vA5Jz/Bk4YJ1U9CzirrCwzS3sf79iUe8zAKzoqdmmrjt6qyurSpo7+io6wY6Nmlza2xFJV1jLtUkbWOvowRDvfl2HE/J9y9t1lZEwS5m1we4CVa27rHq/b43pzMIKPqvf5d4+L1pHCUxadOsqU75ErdTBctPxUtF2uyjK1BNkYnRBM9QUOL7//o+qekTZ4sDfhpb8YPPtj/HXL6uPPcUYzJhUqvcHVzBInHei6zea6+2y4x2X2CHaOY8vkoecwNgCNlD+UJ8AXpB3C08cXKb+MXFG9I3Il96Fv32PDfVhErjYgG6MTglhHVe3I2MxokdnCqnXVxTeMv8xsYdW66uAZBX8TsmZkLAbMzfVmSedthIhQGsbeCoW/LB9f/6CuGA84KTRrKj/G50tt2peq0lNHmfJT27gjV6j8ztlx9qHbVj7aqn3o8o10lnfEmMsOTMMRSAl6JPAejKf8LPBsVf2hh/dNmMD3U8BXMRmZVgPfcsj2AT6qqi8YJsfc9t5LTyJ9pp5JpxSecddVlb/t7VKVf1JlnXc+2B2E4oyOM5xSrK46ZBmnrG2SpWiZIb66ZE2RxT237bZl3eObr123sLDITFyUNsYXmVWrrfwUvnHonVJXE+UXqWuMcm0YXupYsBgmOOqeGf0wAylBgTcBr1PVL9rwTW/CODp1ISL3xIR4urM99W3gOLuH9EiH7kfAeTEhtm9buuBcm17Qo6yrar1NtYuLcck67rpS+Ge3LzRGZ2cXnsvImARMT/dGX7fe1EsBetvm5eYg5hUciiRRhq+o53EZHp9cRerp8JXxhq5brpS2cvkWUx8W4Nu3mCS1IjYpMgmo1RgNpARVevnm1wF/9LFiZk6XAgIsAa5xCUTk9sBu9M+UerF1y0JjNCNjEqCemKKLIaZcxo4Jd7/z5ltXdo9v2rS6CXEyMiojFDB9nMgzo2l4AfBlEXkLZgn+noMEqvo9Efk6cDXGGH2nqv58gOxk4FzVeC6Erc5yUNPhlHaEEEVF+Sc1zFSZequ2i/vxdmeVMjImHbc57+U/XWeW6UP79joIve1T+IrsXayj/BS+ceidUlcT5Repq2m5xo22pSdNQRPG6LOAF6rqp0XkMcAHMYHwuxCR2wGHY/aEAnxVRI5VVXcW9GTgiaFKQulA2+4VHuOfVK/wMnVOumd/jL8MzxLH43h6epv9n0M7ZUw+3Pt8q42hG8r406Etktfct2Woao72quWHtvkUlSumd2r5qW1cd/kdvphjTt196PK5urTNYSjPjKbhyRhnJIBPAh/w0DwC+L6q3gIgIl8E/hK7JC8idwFmVPVHoUrcdKBfvtubdOvWzvnhxkHnxgvdmLGZUfeG75QRm4nz8aTKGjPwQnX5+FNkTW2XUcpatA9D8jbRhyF5XdqlaozRmUCcUV8fxOROvR7r75gsw8pMlSVWbqqsbZLFV27TfVhGFneLydIlvfjPq1eaezs1Lea0J9xZiLZoKskyaTF9xolPppBcdaUDTZErNR1oUV1cmepOg5rah6lpaZvCYti61YQx+kfgOEww+/sBl3tofg88XUT+H2aZ/jjg7c71xzGQxWkY3BAisY/FfMQRJ/YCn/e8uKMv6MDLPkXW2MciVJfvXIqsqe1SRtZR9WFI3iZkDdGqLsy2JIHlep+EsVdm6vUUvjbJEru+GGSJXW9CFpyP5oqVvaD3e9qg92UGaiHEBqO+8vtELMiXIlOqXGV4FpNcoYG9b8IiRa4iMqXoPW60TZ4U1B3aaUFKUODpwJkiMgNswS6li8jRwDNtes9PYQzVSzDOTF9S1f90in4MnoxNo0DMQEvhD12v6i2fwlfEQKtSZ5kZo6p1jZqvCv8oZa26NSAjYxKwYnXPGF274aYGJcnImGy0bQ9rCur2pvemBMXjgKaqFwFPs8dzwDOGlHtQGTnyHruMSUV/9jDzfz6HdspYBFixqmeMrt/9xgXXy+y3bqMDZVNOj22Xq019WGRgnyLXuKFlQnC1FDtEBqalSxcudS4GVJ1ZbTuqzqyOE3XJ6htI5TijGZMKN5OQe28vW2vSgboBxn0fWAnEgozSusZDZ+tN4APe5fPwlJErWr5bR5nyU3QpI1eq3im6RORqug/L0jaFtn8fi6A2Y1RE9sUEu98ds9T+PlU9U0R2As4FDgB+CzxGVW8c4N0f+Awm9NMS4B2q+h4RWYlxejoYmAP+U1VPi8mybPnWUamVkTFW9M+M2n1O89kYzZhMTE31DFB/OlDXYPDwT8dn1Tp8biYz32AxlnUtNMD0lj8/fAbSrcsnV0zvMrrE5JqfCxlw4fLLyBXT2ydTSK7UPvTdJyl9WESuNmBce0YL2m9HAu/GxJOfA05X1XNjZdc5MzoLvFhVfywia4AfichXgVOA/1bVM0TkNOA04GUDvFcDf6mqW0VkNfBTETkf2Ai8RVW/LiJLgf8WkQer6heHCbJs2baFJ+vOMtFUXVXrnYR2qco/znapyF91D3NGRluxfeuS7vEt168BBu5t9zmZKuY93cfnPHNeAyv0HHrqKlP+UJ4AX5B2CE8fX6T8MnJF9Xbgc6ZsrA9T9I7wFKlrVy/XeDE/vmX604jbb5uBJ6nq5SKyF8b2+7KqbhxWcG3GqKpejTEqUdWbReTnwN7ASfTSf/4bxqv+ZQO8rvW4DDNDiqpuBr7eoRGRH9OLRRrE0hIzo2X2kowKMe/uGF8KT1m+qkiptylZU1C1D0N8s7O9R3R2m/l4TwVCs2RkTBK2dFKAAtuvMlny6hpopWyjGcc2oZStVnXLlVp+UV2qll+GrwxPqlwHFqasD2P0pi9iv/3SOf6jiFyLsdk3Dit4LHtGbUrQo4AfALtbQxXgT5hlfB/PvsAXgNsB/6Cqfxy4vh54GHBmrP4ZZ89oSsywqnHGymzYrlpval0+/qo61iXrKPsjpV3K1Fu1XVzaWYwxGoozmpHRdrgzOFu39DIwbdpoZkZje/HK7I2M8Y1yj2DqvsKR7j8dkVxV95/WXX6RupqWa9wYozd9IfutAxE5BpPW/dexgms3Ru0y+6eBF6jqTeLk1lJVlcBXXlX/ANzZTvN+VkQ+parX2DJnMHFGz1LVKwL1djMwvf7o43js7e5gznv2eoT2nXTLiuwPSeVP4RtnXVX5J6FdqvLXLatv79NUNkYzJhTz23qfnO3be8v019+wFugfiLlGQOfjX8R7usPnGgy+FYiYIRNatYiVP4wnxBeiHcYT0qWqXDG9Y3I11Yc+A7FqH5apq0mUm4zp2UYW77NJgjrX/wvYw8P6iv46w/abLWdP4N+BJ6vGvnr1xxldgjFEz1HV8+zpa0RkT1W92gp77bAy7DTvT4FjMfFHwWRWulxV3z6Er5uB6fK/fc7CBuu7MZ0b0rOx2ctXoPO7ZQQ8+jrXQ5vPfXW51wvLSk/HYF0enpiOKbL2nU9tF4+sSX04UK+XdEyyDpW3Q9vunQoZGVGE8oNvsxEiUjIdwUBWITtWcz/QjWdgcsaPPrkay8DkkWucGZhictXdh6HyvXIF+rANKLNM79pGgev3D10TkUL2m4isxaxsv0JVv19Erjq96QWTd/7nqvovzqXzMSlBz7D/P+fh3Qe4XlVvE5ENwL2Bt9lr/wSsw8YkLQKvN5xzyuskEph86vAVuRk7ZcTqCtVbtK6YrKEyfHx1y9rPV+IBSpA1tV18ZaS2i1PrUJ4Qn2882bYXYUZGCtzQTqtXmn39EjBkut7TRWbVfF7dHr7Q3mtfasWU8mO6lJErlO5RPEZZVbmCs4kew69oW4XKj/GFdPHpnSJXrK1CdbXtHRyKkFADithvSzHRkD6iqp8avB5CnTOj9wKeCFwiIhfbc/+IUeI/ROSpwO8w2ZQYyMB0OPBWOwUsGA/6S6yR+grgMuDHdsn/narqy2/fxdzsDhFONWMRwg1/k4PeZywmuCH3dtv1xgXXU5dFfUuww+gGUZQvRaZUucrwLCa5qm61KFN+jLZM+ePGGB2YithvjwHuA+wsIqdYvlNU9eJhBYvuAGt/Fz/sHxa/khmLEn2xGK0ROjfXsiB3GRkFMe2EAnL3Pi9Zsr0JcTIyKuPOn3tr45bpWes+WtjGed6mJzQurw87xJTh9q1LmxYhI2NkaNsSUUZGClwDdP1uGxdcrzvk3ThSSfrqqjvt5mKSa1L7cNwY48xobdghjNGtW3rGaMoD5WKcN3HVh78Mn49/nO3ioo6XYog/pV3K1FtV1mln9qgT0qltL8KMjBS4kSKWrzHpQFP3CPr4YvsdyzzTVcsvsw+zzDsjZZ/nKNq47vLb0ocubZuN0cWwwN1EOtBHA6/F7As9RlUv8vAeikk51cFBwKtV9e0ici5wqD2/HtioqkcOk8UNIZKN0eJ1ZmN0eJ1F+Kv24TLp7atT6/Ax7cl6kpExCXA/mq7TxbzdjpIalmjes3WlaoihMuGSpjzPpE+mkFyjDMdUVa6qYaLKtFVdelftwzJytQGLYbWsiXSgPwUeCbw3xKiqvwCOBBCRaeAqjHcWqvrYDp2IvBXYFBNkznH48I0gQuFGqvDE+Ouqd5x1VeVvQ7tU5a9b1vklCz8cOc5oxqRibnvvXexmF7v1xtXAeGbVinp1xzzURzkzOk4P+DJtnCJX3eW7tHX1YRm52oC5RTA/MfZ0oKr6VQApbumcAPxaVX/nnrShox4D3C8uS+/Yt7diiuE3VgpPjL+uelPr8vFX1bEuWUfZH1PdF2hxnjL1jrJdOmjbizAjIwWzTgD8G6/ZCYjP8JRZQo7xpS7xjoqnDN849E6pq+7yQ3xN69025D2jBTGQDrQsTsZkWxrEscA1qnp5vP7e8XTkQ+4b3RXlGUSnjDL8KfWmyup7yEL8sYc7pd5xtosLH3/TfRiqq3/kvrD8jIxJhTsz2kkH6qKM8eHjS+Epwld3+Smo2lZF+Mapd9G62nqPjBt5z2gBDKYDLcm7FHg48HLP5cfhN1I7vN2UVy866CQetvvdgXaNqEZZV1X+NrVLVf6292EZft/1HGc0Y1LhTgy4exc3bVrtoa02mxnjq/uZL7KCUXW2cRL1rntGug1yjRvZGI0gkA60DB4M/LiTk94pdwaz7/RuIUY35dW37/M6NVtYMzImC643feelOBswRn2j/dhovq6ZhTpmHsYpa5tkKVpmiC90vQlZZgL7nWfnhqcD7ZQV3C4T2bvo3S4TqMuXrnKU5cf43LSYRfUuU35qG3fkqqv8lDb2tVUZuWI8Ll+bZ0bzMv0QDEkHWgah2c/7A5ep6pVFClm6bFti9RkZ7UPoReg7H3tppr5U6yi3TbK2SZa6ymxCFhfuQGvFcvOOLuN846Kqo46PLzQ4GeU+z5gjzTAel3YUM4RV9U7RJSbXOPSuKlcbsAgmRhtJB7oMeAewK/AFEblYVR8oInsBH1DVEwFEZBXwAOAZnrJD+0i9mFm6cFZ0EvaajHIJOGVpfJzt4mJcso67rhR+dZYyfS/7jIxJhZubfqedNgFhQ8ZnKLnw8cUMmRhiRlmo/GE8Ib4yz3TMKKsqV0pbuXyLoQ8n7R071zLjOAV1etN/Gwi10Gc89H8ETnR+3wrsHCj7lDKylEk1V/Xl4KLqA1OUr+qLrCxfVf5xtYuLUY6KY/yjbJft9GLkzm83j+vU1CKI45GxQ8K93914uTvtekMT4mRkLArMT5bt7MUOkYFpesb5ePsMhdioIoUnxl9Xval1+fir6liXrKPsj5R2KVNvxXZxPY47yEHvMyYVc85Mvzj38dqdFvq2VnW+qWsAWrSuustPratpudrUh6N0MmsS7ZImDU1kYHoDcBIwD1wLnGJnRV3eI4F3A2uBOeB0VT3XXjsHOBrYDvwQeIaqDp/6jOxhca8XvvEKLNtGH4gR8RTijyyjj6xdHISu1qJjqqwp7eKgbln7l7nswdRiePVk7IjQWf9ztnTl1gXnqhoyMb5sjNYjV0pflCm/SF1NyzVu5JnR4QhlYHqzqr4KQESeB7waeOYA72bgSap6ud1L+iMR+bKqbgTOAZ5g6T4GPA1juBZCdL9e53qZPYIhB4HCQjn7VoryuHypslbUMUnWMnzjlHWEfVi1P2J7vjIyFgPc/dDdME8l9jv2lRWhVc9qSNSQCaygjNQY7RyXKT9FlzJypeqdoktErsp6u/eAJ0rCSORqAdolTRqayMB0qUO2Ck87quovneM/isi1GIenjap6QeeaiPwQ2CcmSyfvseEZzYhpHI46dY/uYvx1O+qMs11C/CntUqbequ3Sv6fUngvkls7ImCTMO8bBbTetBMIDMd9zVMYpKMWRJrX8YTwhvrqcjlLkquoMVXf5Lm1dfVhGrjZgrl3iJKGRDEwicjrwJExe+ftGeI8BlgK/Hji/BOOt//xY/bPbqxmj/fUOX9YdxlOFryr/uIzRcRjpPv62t4uLMvw+w3MuG6MZE4qpKfc56p3fdP36BbTu9eLZo3t8ZXjKIKX8VF3qLr/tcu1IfVgFi8GLoJEMTKr6CuAVIvJy4FTgNQHePYF/B56sqoPt/a/AN1X1WwHebgamfzziQTxy3yNHoE1Gxngx71laykv3GZMKkd5r3L23N93oSwfaOy6TYaaXNrc8TxG+ustPQdW2KsI3Tr2L1tXWe2TcaJk4SWg6A9M5wAV4jFERWQt8AXiFqn5/4NprMMv2vhikALgZmL5/wqt0e/HoThkZrYEbxqlto/GMjLIILYvefMuqBeemPKsKRTLNdPjmI8vFvvJdvtDSt6/8ojKF5Cqjd0yXmFxV9Y7JFeJJkWucfZiqdxuQZ0aHIJSBSUQOUdXL7c+TgMs8vEsxsUg/oqqfGrj2NOCBwAme2VIvZrf31BxVvMy6Y2wO8hXlb0O8zKL84/Q2DfGntEuZequ2y5KlvVFUJ6RTjjOasRjQn6fevlenHOPAZwTM+Z/Dqeke7ZzHEHG/FJ06fOW7fD6eMnL5ZArJFSs/VRefXDo9Or1TdHFlEmfhZ5R6V+3DMnq3AW2bqU1BExmYnioih2KM+d9hPelF5Gjgmar6NOAxwH2AnUXkFMt7iqpeDLzH8n3P2Lucp6qvHybInOPANCqjqaqhVle9bTDwqtSZyrdYjdEZnXXOm/9TObRTxoQi9Owt76QDde5tr8PKfOA59PD1GzI+Y9E/qJv37MlOKT+mSxm5fDK5dZQpP7WNi8o1jj4cld4xniJ1tQGLYXqiiQxMF3jOoaoXYcI0oaofBT4aoCstc8wzLmacpPCE+GKI8aTI6p4vI2tqXTEU1XEcsqbUFUNdfdjlyUHvMyYU87N+Z9K1625ZQJscLsmDMoPCUUXIKDLQLcq3mPQuo0uKTG2Qa9yYi5O0HjtEBqbFhLaFlEhBzPN+0nWMjaBT9ct7RjMmHSGP5LUbFmZgysjIKIbFMD2xQxijsbhrPtrUvZNNh1Mqql9Zvhh/Cl9dsrapD1N0jMYJzKGdMiYU/c9T795ete5WeyryvIWepxS+Mjx1lF+GbzHpPQpd2iRXCzDZ0zcGY08H6lx/MfAWYFdV/bOHfz/gA8C+lv9EVf2tiHwL6MQB2Q34oar+9TBZpqcXwyR2xo4InzE6H9jblJExSehz1Fu2bcE53Pvcs28vVFaXL7B30cvjIEqbUr5HlzJyRfVOLT+1jesuv2gbuwPzFL0jPH18gTZuA/LM6HB404Gq6qXWUP0r4PdD+D+CyUn/VRurdB5AVY/tEIjIp4HPxQRxPZJjmERHnLY6U4X4F5Nnv49/lO3imyV1HfIyMiYJbiQId8m+Y1QE9/d3PLXL7Hd0vtD99UqYx6kj6BzTNU4W8kRlAqRvr4LHkSby/nKPfXGIK8sV0zsil1cmR65Sxq6nrVxa3z0SqiN2jyTL1QLoIpgbHXs6UOBS4G3ASwkYkiJyBDCjql+1/At2t9s4pPcDnhKTZdpx+BjlJukYfyrfMP42yVqHflX4hvFPah8GX+wZGROIUODw225dYU/6jZ/uM1FgKdU7SI8s8UbrKlP+EJ4gXwmjL5ajvbJcZfTuE3K4LnX0YVW9ozxF6moB8sxoQbjpQEXkJOAqVf1fCXtk3B7YKCLnAQcC/wWcpqruevtfA//dyeo0DNNLZhecG+U+zaI846irar2T0C5V+ZtoFxdl+HX7whdojjOaMakIPUe3blptz8X4/edT+EI8ZWir8JThG4feKXXVXX6Ir2m924bFsBFxrOlAMUv3/4hZoh+GGeBYjAH7e+Bc4BRMEP0OHofZUxqqt5sO9FV3vj+POuDOheRtelatrcvRTS99V623Te1Sht8NhdMzRocbxmW8+UOj/ZRyfaijzNRyRyFLzDluXO1Wlywp7RaSJQb343/zTauHylK0/iK0w3hS+ZL2eVYsP7WupuVqqg9H+Q1InSCqC6Hg/5OEsaYDFZE7YWY6O7Oi+wA/FpFjVPVPDuuVwMWqeoUt57PAX2CNURHZBTgGeESobjcd6CV//SLF7qkQz6qnRvaNpPDE+E0Z5fl8Oaf69u0E61pIG6uzqo4p+g3W66t/lP2R0i799Vbrw6L3W9/1wP6xGG2Z61XLHVeZqeXuCO1Wh45VywxtO7nttmUL+H1GcBGDwWcYl9mb7aurTPnDeEJ8qQPYDl+s/DJyldHbJ9c4+7Cq3jGeInW1AeNaKxORnTCTgwcAvwUeo6o3BmjXYrZlflZVT42VPdZ0oKp6CcYDvkPzW+Bojzf9hcB6EdlVVa/D7A29yLn+KODzqrqlLvknAaPctxIzgJrAYtevCPpflg0KkpFRI7rZb0KDvo4hE4ok4Rv0uc+Ow6c2F4ubUcil9WY7KlH+MJ4Qnzr5YcpkYKpDLl9blZKrBX1YVO8oTwG+NmCMG7dOw2yPPENETrO/XxagfQPwzaIFjz0dqKp6MzC56UBVdU5EXgL8tzVqfwS83yE/GTijqCB9N1zC5gqXJ2kf53zaiGpUshapt8OXPPqbL98uKfq5fCn6leXroqE+9F5v2YswI6MqOhFPpvpmrxbSzYVSVXr43MHbvPPMTHVnuvyydHL8+XjKyBXi8ckVK9/NOxjTJaR3B9OBsEQdvjJ6++SK6e2TKSRXch8W1CXWVkXkagPG6E1/EnC8Pf434Bt4jFERuRsmrOeXgKOLFNxEOlCX5gDnuJsO1P7+KuDd6Kmqx5eRZbF6JKcs8UwS2uy9OIi6ZO0vd+G5jIzFgFWrbgNGu68vxJeyZ72uveOjWqYfpVyp77KiukxSH5apq0nMjc8Y3d1GSgL4E8bg7IOITAFvBZ4A3L9owTtEBqYclzFjMSEHvc+YVEwFZuVWrb11zJJkZCwelFmmd527Ld5nfWw61/8L2MPD+gr3h6qq+C31ZwMXqOqVQyImLcAOYYz2eyQvvB5rrxSeGH9d9abW5eOvqmNdso6yP1LapUy9Vdsl56PP2BGwfOXC7f9tn6FbTLOZbZVrUvtw3CizWKbzPedu73XV4GymiFwjInuq6tUisidwrYfsL4FjReTZwGpgqYjcoqqnDZOrkXSgIvJc4DmY8FhfUNWXevjPBh4KXKuqd3TOvxl4GLAN+DXwFFXdOEyWOWeT9ahCPqTexHXXO8q6qvKPU9Ym9EvlK8MzM1N+02ldXp8p5cZ4UmWtQ8e6ZKmj3VyaptstVRYXM0ttLOg+hxJPPdOBZ8fD1+e06D5zXUcaf1FdPg9PofKH8AT5YnqX0CUml84F7qeCekfliukdeP/55Gq8D4vI1QLMj2+Z/nzgyRifnSfjSVykqn/bORaRUzBO6kMNUWggHSjGOD0JuIuqbhWR3QL8HwbeiTFoXXwVeLmqzorIG4GXE/bmAvr3jAY95izEt1k5gaeuuqryj1PW1Lqq8re9XUrxO8ZoZ8Y0tNTpLb+mEfwkhXYaZ5ltCu1Utdw6ygzN+nc++NFwTIGxmTdcklOZPwh64DntOiv6ZUkpv0+XFLn6QsgtLDe1fB9faDWm8x3t62OPXKnlp7Sx+233y1WtD11al3+qZTmPxijNGcB/iMhTgd8BjwH6HNBTC24iHejTgTNUdau95pvmRVW/aTM3DZ7/ivPz+5gwT0MxX2Jm1DcKSuGJ8UP/g1CUL0VWly8ka3TmMEXWBB5IkzW1Xbr8qbKOsQ99/BkZk4TQvb3VxhmN0Ybu/ZRnpsxqxyjLT+FrSu8UuVLfX3Wvro1TrnFjXN70qno9cILnfJ8DunP+w5iJxSjGng4UeDNmP8HpwBbgJap6YWLRf4cJwOqrs7tJ9x9u91Aevmeh6AKFUWT/SJu8nuvwvG+jfrB4deygbS/CjIzi8D9PWzab3PR1hcwpk0qyCk9Z+EIMFeUpy1d3+Sm6lEFb+7ANmB3fMn1tGGs6UFW9SURmgJ0wGZXujpnyPUi13K0iIq/AbAU4x3fdzcD0neNeqxTsrDqW0crwlTGqmpY1laeoYdwGWVP46urDHNopYzHBfeNvuW15c4JkZEw4FsMnYazpQO3pK4HzrPH5QxGZB3YBritR7ikY56YTihix7r48SRhBpPCMu66q/G1vl6r8k9AuRfmzMZoxqQjNVG3butReH92ybIyv7uXiMnFGY3xtcPasuqUgpfzUumK0HZugL6vTBMcZHaMDU20YazpQi88C9wW+LiK3B5YCg+lAh5X7IOClwHGqurkIz9RUuzYbZ2SkoPNSzHFGMyYVrvNdv0NJ52j4qkKZEGv+8sOOKsPrKi9XMUedcjKF5AobZeXlqh7er3hbxcPc1dOHPo+fVLnagDFmYKoNY08HCpwNnC0iP8WEZ3qyDZ66F/ABVT0RQEQ+jkk7tYuIXAm8RlU/iPGwXwZ81QZU/b6qPnOYINOenLohTGq8zCp1pvKNM+Zp1Xrb1C5l+H0vyLa9CDMyisP/oM0sMW7yfbNXHkMmlE3PN+EQ88yPzaqFttsUlSs0CeL16o6Un6pLilxl9E7RJeQBP0q9i+rS5yGfqHcbsBim25pKB/oED/0fgROd348LlHu7srKUmRmtGgzXRdEyUp1vqsqasvxQVdYyfONsl6r11tUubozclPIzMtoKd9C1bPlWe85vBKTEUo2GiYqgjCFTVKaQXFXfGaOMkZuqd8wYraMPY+WPow/bgDGmA60NO0QGJqb8D4cXKXt/Ku6BcfcIltk349tbOAmyptRVRtaUPmytrJ6wZDkrU8akImQcLFuxtQlxMjIWBeYXwQTF2DMwici5wKGWbD2wUVWP9PD/FrgZE+Z4VlWPtucL8feXVcIYjfDXzVfG+3qU8c/a1C6xUWubZB1lXT5+n+GZZ0YzJhXufuf+mdFtAMGMOl2eQOabMnwx2hQen1xF6unwFZVpHHKltJXLtxj6sIzebUB2YBoObwYmVX1sh0BE3gpsGlLGfVW1z7mpJL+lK7//I/TB9xlKqQZkitEV9RKs6CFaVdZQu4zUE3JEfejyVTXyRxF8OV5Hh24oWUZGa9F/7/fu9+5WqqkQrUHwnRF5KPr4OkZTmecwQa6QTKMq3+Ur9f6pWa5SfRHhG4feXp7U/mgI7ZImDU1kYLoUwHrbPwa4X0r5ZfhT9neUMarKGGhl5CpaV+r+lTLG5qhkLXM9ldbHk9qHset16Ni2F11GRh3w7QfsOxfKtx4ry5d33IP5QIa3qenRlB/WZfhEhk8un0xuHVXbypUr6AxVUK7R9mHxtqrjHnH5Qn3YBuSZ0YIYyMDUwbHANap6eYBNga+IuQPfa4PYu4jx9woao9EzDr4q/OOUtQn9UvkmoQ+zN33GYoIbKWJ2+7Q9V9xhpb+shXwxR5rgJMLccOeYWPnDeEJ8IdpBmYroUlWumN4xuVL70Of5n9yHBXUp4mw1CTOj2RgtgMEMTM6lxwEfH8J6b1W9SkR2w4RxukxVv1mU300H+o9HPIhH7nskABp08A8jhWfcdVXlb3u7VOWfhHYpyr+Y09plLG64cUbd/aPbtpjc9LF7OxwjszhfHakk/XFOi9dRVzrQFLnqTgdatfwyfKltNWnv2OxNH0EgAxM2JegjgbuFeFX1Kvv/WhH5DHAM8M0S/N10oBf+1St0fsI2JGdkZGQsNvTPKDnG6NYlC2mnFn5gtUDCB192nWF0ZesoKlfd5afW1ZRcTevt4ytzP5Upf9zIM6NDMCQDE8D9gctU9coA7ypgyu41XQX8FfD6ovyD8I1yyjgg+fiqxoWrq66q9U5Cu1TlH2e7VOXPzkoZiwmhZdG5uekF5/xZcoYvy5bhk/lEZ8+K5afwRfUOTLakyBWsq6BcyX2YIFfdfVhErjYgh3YaDm8GJlW9ADiZgSX2gQxMuwOfsRmWZoCPqeqXHPIF/MMQ2/9Rhj8FRfYODeNL4SmLmFNP3bLWrWPMAamtsvqyh43SQE1N/TdJqCMKQW636oiVG3M6jPGl8BThG1f5Zeqo2lZl5Kqr/JS62nqPjBuLYeG3kQxMqnqK51w3A5OqXgHcZUjZC/iHy1LcGK3qVV5mc7nPEKoqa9WHt6qssdBQ7vlRyurjK9KHRUNS1d2HRWjrMA4WqyHlog4dc7ulIfQcdUI79c2cepZH5z0ZyQCmPIM2dynV60gTWOKNvROKyuWTKSRXrPxUXVLkKqN3GV185cfkStW7qC6x8kN15GX60WPHyMBUAmWMnqL8oespo7NUuWI8RctK0a9M+UXqKiND0bLKGYX19mEZAzYjY5IQej/MLJldcM73TE5Pz0XLKurVHcR0+fJduXwoM4gfJlNIrlD5KXKltJXLV8YDPlR+E32YqncboNkYnTzEjIeiM2Wx8kO0vps8hSdV1tjMZR36pfKlylqmXUbVH1VldWnCbRiWKVSXr6zUdhllH5SRpQ5Zy8jio2m63YrI4uOvo93KyBLa3rDEGqMZGRnlMbsIFuqbSAd6F+A9wGrgt8DfDoR86vA/CDgTMwb5gKqeYc+fAxwNbAd+CDxDVbcPl2X4Bz/FuCgyOxWjidWbwhMbCcb4ihiTVWRN5aujD9skq3t+nLOso5x9rkuW2PVJlyV2vU2yjlaW3nMwNTNXiD9mDJfhKzJArKP8FL5x6J1SV93lp9Y1TrnagLxMPxzedKDAB4CXqOr/iMjfAf8AvMplFJFp4F3AA4ArgQtF5HxVvRQ4B3iCJf0Y8DTg3cMEKbOsmbIEWma2IMaXajQVRSr/KGVNaZcyaLoPU+vKyNiRkDJLW+TZKToALGPIpJQfqitFrlGWH+NLXQlMKT/GF9JlVHKNog/bgGyMDsGQdKC3x8YLBb4KfJkBYxQTU/RX1pEJEfkEcBJwqfXGx57/IbBPGbnGaTw0YahMgqxtMjbr4qvCHzN851u2eT4joyj6DQqc44X7CcvMSKXwlZkxrlp+qi4xfl+7NS3XYupDl7bNM6SL4ZPQRDrQn2EMy88Cjwb29bDsDfzB+X0lcI+BMpdgQkc9P1BnNwPTyw9/MI/Y56gqKmRkNIIdIYRQxo6DUJabbirIgHcznS0sAe9pL59r+Pr4Al/w+XnrneLyVCzfp0sZueYJJFH3eahXlEsjersDCq9c4+jDiLd8YblibRWoizwzOnKMPR2oXZo/S0ReBZwPbEss+l+Bb6rqt3wXBzMw9eQpPhVfhWfcdVXlb3u7VOWfVFl9o/lslGZMKkL39vzscPfkLm0JP42+ZyvFvyPCk1p+Et8Y9C7axnWXn1pXilwj6cMWYHt2YBoOXzpQVb0Mk1EJEbk98BAP61X0z5juY891yn0NsCvwjGJyjG7UkOJkEnOkqVpWkf2MRetI4XH5QiPVUZY1qvLL8JXpw6a2BGRkTBLcQVXeepKRkY48MzoEoXSgIrKbzTc/BbwS41k/iAuBQ0TkQIwRejLweMv/NOCBwAmqOtHDgbpHV02P3pquf9Lg31TflDQZGaNHbI9fG1Z2RrWyUsZRJ8bX1hWtpleh6u7DInxtQDZGh8ObDhRjZD7H/j4P+BCAmw5UVWdF5FSMc9M0cLaq/szyvAf4HfA9my70PFV189YvwCi94FIMrFEaZbGN2U3oV4WvaFlVZ5Rj5afypPRHutydMpPYMzImCnWF8inq1V2XURajbcooq1uulC1NdfdhkXfxKN/hdWFOJnpeDmgoHSgmfuggfTcdqP19AXCBh27kMtdlYBYd7YfKHeWILCavT9aiPIN8RWVpQr/BelPaJSMjY7TwGRc+Z6ciz2GPb/j2pfCgbviWoF7yCf/14TIVLz8mk8sXcgxrQq4wT/F3aNU+9N0vfrnK3E99NUT5xom5lsmTgh0uA1MTM5ttmMGrm3+csjahYxvaJc+IZixWxIyLuHESO1f+Yx0zxOKGXKjctstVbc/7OPow9i70+xgULz+Gtr2LF4MxiqruEH/A308KbdP1L1ZZF6teTdefZZ0s2qbrz7JOFm3T9U+arPkv7a9xAcamKFw0KbRN179YZV2sejVdf5Z1smibrj/LOlm0Tdc/abLmv7S/QCTdjIyMjIyMjIyMjPqRjdGMjIyMjIyMjIzGsCMZo++bINqm6y9D23T9ddE2XX8Z2qbrL0PbdP1laJuuvy7apusvQ9t0/WVom66/Ltqm6y9D23T9GYkQux8iIyMjIyMjIyMjY+zYkWZGMzIyMjIyMjIyWoZsjGZkZGRkZGRkZDSGHcoYFWlbqNrqEJEdqg8nHYvxHszIyMgoi/wuzHCxQxkyWtMG2boeqiLlqmptSWnrMnSH6SUix5Usq7SMDfdXoXuwLYOMom2VPyztQIn+mq5bllFi1PehiKxuQxtE3oVrEspry3sjKIeIPB9KvQtL91WN7/hWtO9ixKJvWBF5hIi8SEQ+KSKPcc5P+W5YEVkuIv9PRFZGHigRkQNF5IDOQxV6AERkRkQeJiIPFpF1EXmXiMhDRWS1U+7UAM3fiMgrROQLInKPmE5l9LK0O4vILh1Dd0iZ0yJyTxE50jkXoi2i1/OBvxeRQmlqRWQ5cKaI7Dr4shqUo8b+mhGRo0VkeahcETlJRJ4lIp8QkZOd895+KKNX3VBVjTwHuzh0UdnsPbrTKGVMxZD2v7uI7DFwbpjRUKtOZT7Ew/pLRDaIyOGWbs6eG6ZXrfdaTK8i7wx77hAR2QeKGTj2+ToL2GfwXePqbPv1rvb53mvwukfWU0TkKSJy56p6iciLgbNE5Lii99aw98YAXZ16PV1E1jvfjsH31wuAt4nIv4rIzsPqdnSK9lXnd03v+KheGSNA01H36/wD1gG/A54MPAX4KfBF4C+G8LwV+HjnXrb/V3ro/h/waeBa4G0ROf4FuAD4CfAae25pgPZ04A/A24CTAjr9L/Bo4FXAqcB+wEERGYrq9TrgY8Bm4C0FyvwCcAPw0ghtTK81wG87egCHA88A7g9scOUeaNeP2uNpzOBq30D9dfXX22x/PB+4R6C/fgqcBDwCuAX4GnBUpP5CelmaA4CHAbtF9HoI8BzgvgWenacCjx84N+0crwXebdvpv2P338A980xfe7r9W1SnBL0eATxg4NzUQH99HdhnmHwpOtnfRwFPAO4OrIvI+gTgNODpwKqK/bUe86z+DPgxsLZAW70ZeCIwU4B25HoReWdYmg3ApcAbgYe7ddN7zw32wduAD9njpcBK4K4B/c8H/g84E8/70qF9C/B54D+Af7bn9qig1z/YvnoL8Dz7PBwK3D50L1LwvVGjXi8FbgXOw5M+0z5b38M8r28DHlvgvirUV/Z6Xe/4oXrlv9H8NS5ArcoZI/SzA+deCFyDMbqmBq7tBlzceaFhDIyPA28H/g5Ybs8fClwCLAF2BT4LvCwgw4HApfZ4iaV9r30YngasGKC/I/BJzMftnZiX9vOAv7PXz8IaicADgT9Z+a4G3jOoU0m9DsMYVrsA+2A+Xt4XBnAwcIk93gn4N/vieh1wPw99TK/9gU/a40OAH1pdv4ExjlcOlLcT8F1gL/v7tcC5wAeBfwJ2d2jr7K/jMcbLa6z+jwL+FniIvf4S7MvU/n4Y8C3bX8+05yRFL3v9cEv/FczH5ekBvY6wffseS3cksAzYxUO7M+Zj+UPb9g+y51fZ/1PAuzDG6O5Wrvc4/CEj4BDgl8Aa+3sv4GgGBodFdUrQa3fgJsxH5XTs4IHe/T8FvAN4rfPc/IXtg70D9RfSyZH1QsxzcAHw4oheF9v76kvAfWy/HJLYX2cBpzvvkEdhjOh7Buo/FPgFdjCAMfr2Bw4do16xd4bYvrkQMyg/y9LcG1hmaVYPlLkO+C/gCPv7bcAnMMbWx+gZe4cCP7XHa4GPAmcFdNof+Lnz+7+Ac4APAP/MgPFWUK+DgP8EXoB5zs7CDNZPDshQ6L1Rs157Y96Vjwbeb+t+PXCavX4m8CZ7/HjgOsz3eME3q0xfOXrV9Y6P6eUdpOa/cn+LfZn+C8ANInLvzglVfRtwD8xs4i4usapei/mw7SVm6flRmBfBzzGj7s4yxZOAz6jqdlW9DmOAnSQi6wFE5FgRWWVpDwCuELP/597AsRhD8BcYw6S79GGn/n8F/Bnz8v8osALz4N9BRPYGrsA8CAAPBc5U1RcAd8F8PPcdbIQSej0D+A9V/bOqXol58J5ll0oQkTs4xd4VuNwe3xkz4/RtzOj1tS6tXV4ZptdOwJXAJhF5NmY25oOq+jzMzOhSjNHn6nQD8H3gIBE5BDgO89I9F9jTtkcHp1C8vw6iXH/9yOp2NcYYuA/mxXW4iKzAzBpu7dSFMW7eC9wX82FG7RstQS8wRtU5qvpXwHOBUzrLXwN4GfAuVX0m5oPyUsyMx4s6z0dnSUtVr8fMup+PMdyeLiLvAM63S1oH2XZ5rqpeg/mgHim9/b6rBvWyOBb4uqreLCIPBD6CGRidJiKvtEtnUkKnsnpdgxkw/BrTX08RkZcA7xeR1ZiP77OAy2zZb8Tci0cBPxCRJ3rqL6oTwBsw9/WjgVcCjxeRIzoFDSxDvhBj4L8OY+C9FjgbeFlHjhL9tQ64E8a4B3OP3h/TT/9il04HcSJmIH+tiJwAfBhjEL1ERP7Wrb8OvQq8C3ey99fnMIbN+zCrXmsw77eTReShwA9FZGWnclXdBHwVOFTMVowjMAPGVwK/x7zXsGV8wfLchLmv7uYsa58kInta2rXA70RkfxF5AHAH4E0Yg3NPzACp0xaF9FLVKzDP/EZVfRbmW7XU0jx4cPm5xHvj0SX0WldCrxnMxMhNmMHY6zDG4YuBu1iZrsXcp6jqxzDfjDu75QzoVLSvwEw81fVNvnqIXnt73nMZKWjaGq7rDzO6nMZ8GP4LOBmYoTdi/h/gUS69/f8s4FOY0d9TneuvBP7JHh+OnSFw+D6HMQSPwoz83dmuN9lzXwWe55x/NXCGR/b9gXfY4zOtrKdjPqQd+ZcAxw3I8AXgEYPtMKDX+316YWZPjgXuMMD/JczL8h4Yg7ZT3nKMEXIBZunl7x2eNwPP9+i1X0gve+5IzEfvHOAMYFd7/lz8yz4nY2YDzgWe45x/LvB+5/ft6I2ui/TXW62uRfvr3thlIcyo+SJbxoswy6Mft230fsws6i6W9svAMZ6++ltL/x/AqUP0Oti2/xrn3LnAi+zxEcA9MTOFZ9q2XglchTHQ74UZ2HyAhasEd8AYL3fHzAz8APMBeAFwN+Aplm7K/n9hp60wMw1P9rTT3sC/Yz5y78Qs160F/tLKsKGoTvbY1WvFML2ctv1LW95RmA/2jzAzm3+DWQ04FWMcfQ+40JHhYZiBX2mdnHv/s8CeDq87W3ln4JH2eAbz0f4wZpbnjxiD6xDMQPhD9GZzpUB/rcEMND9sZfqZI8PdMPfZugG97oyZhVqOmYV6qK3/ibaMznto3xJ6TRfVa+Cd8c4h7wxxeWy5T8IYuVdi39kDbfVXts+/jJ3dsuefRG91Zhfg8I7c9v85GIPkcMzyrvvO+CeM0XIezpYlzHPxwTLv+AGaf8Pcl5cCD8bMKJ80WJ6lfzyR9yHOLHRBvV5j+6moXsuBt9vjN2Ce5VfZe6hzz0zbfluJMe5+TniG/kTMpEewr+zvQ4E7lnjH/wvl3vHLsTPIg3r55M5/5f8aF2AsSpr9et/HvHRfhFme/tEQ+qfZh+dnwMPtua8BT3BoVtr/nQf6n+xDfx7wpIHydsJ8ZB+MMQj/wp7/MvDEgAz/ZG/232JGobfDWZbw0N8T+G6kHZ5q9frpEL1W2P8z9v+7gb/GjIafZM91PvB3BI6xL4Z/BW5nz3+lUyaw/wDPG4bphTEkPogxgl9ty/3WgB7HOcf3xXzErgOeNqjTYPsO6y96BtbyWH+x8KPZmUX7FcYYOB5nXyjG8LkLvWXP++EYBZ6+up+j11MDfbUMMzuwyjl3T+Aj9vh/sPsIMUbBBcBngG8M1PU/DAxC7PlTMPv79sHMyD8GY0jcF9hpgPZ4jFF2T+CbnrKmMB+gt2JmFr6Osy8TM6t+HGb25644y6shnRy9vmT78esF9XoFZkXgAMye8hdiBgp3t31/R8xM1UMcngcwcB/a82L7PqiT8/tAnO0mmI9/x/j5rwG99sAMLj8FXDBQ53fw708e1l+3xwxIH4oxcO5geY4CfhK4B9+NmW29gH6D75vA3Qf0WlNQrz1tf30K+GJBvV6DeWf8jiHvQvqNjVOB3w95vg62+m3DzA6utf33BA/tEvv/eZiB9n8y8I6313fBDEL+C3io550xOODrvOODelk9/owzCPXUu9Y5dt8bfe9D4E4D+gT1Au7slLlzRK+HDpT3civD1Zj7eBmBbS6W/lXYAYdz7vlF+wo74PP01+ksfMfv6tDdDjN4/BTwl4N6eeR8qdXrqiJ65b9yf40LMFZlzcv6BcDf0/8yfQTGSP0UxvBagfkAvgGzIfrz9mHYg8DmfMzIchb4qv29Bx4nAcyH72P2Yfq0PfcQW/85wAn23FH2JfLCQH2uc8LeVsZHDdD8DebDe4EtbzXG2BvU6/n2wd3PLdeW8UBgHviy/f18zEvU/eguxcxkvgvzQjvfnn8m8JKB8g7BfMz+IdJXD8Z8OP8aO0Ph1H+O88KZxnx8n4YZCX8KeKu99gIr+4swM8lT9EbNg/3l0rpt6+uvJ2OMl8uB4+25YzEGwCsK3IdrMbNHj3HOnYQxFs7F7tO1/fEs20+f7Ojl8Ay+hKds2f+O+YCfZ893ZphXYmbw3oL5YBxk75HvDJTTaaPdMfu0fgm82p7bM6DTDGaW8c/AX3uuux+Bh2CcaH5l9T4VYzhOsXBP7DLMzN6gTlPYDwHGINwJM8g8bVAvq4dr3O6HMTZ/ALzSnjtyoN6VOA4NmH2+f+P8vjv9s4EPxsy+9Olkrz0KMxBxjaWl9u/fMNs2Ono9mv5BzBor679i7tnHYo1ijAPQkxzaQv2FmSXt7FW8aECvDTgGPGZP+c8w76L7Y+7977j0nvtgCcYI7uplr+3iHK/CvEf+FTM7+1jbxo/HOKJ8F/NM72Lb+msMvEsC92Hn3n0u8LiB9477zhLMqsWDMQb3uzGzdH9j5fouA/cxxui+Gfia8359A2YW/REO3d9iBhLfxWw36Zx7K2YLyF/Zc7fD7Ikfqpft59Wd+37g2osxBtLxVp/OftOnYmasP2nrfQ7WAclT/u0G9Hq2jxYz2P7igF4vYuGgYgPm/fiMiF6dCYp9gYOd8y/AvIvfg9l6JrbMB2O+L+8GXmdpn4b5ll0HnDhQ/uA7/mmY78O1wAMH6vuY7YvOO/5kzKrhf1m+dZjvzIcx25OS7ZD8F7gfmhZg5AqZGYATMMtWdyxAv45+j/uf2Yf4SIdmD/tQ/AhjDB2JXXIYKOv99gHY4NAe5dJiXmj3xix772brv9jSPs8+LPtb2kMcne4/qBO9F+8S4D4evVyv++dhPlZ7Dei1FPMR/xNmRrJjCO1Jz+Hpc8Dd7HGH9mz7wE5hRs7HYV64J9iHdh3G4DjY8q23Ou9Fb7mmbF8NetwfgXnpHo+dqaP3Ql6H2cP5DMw+Pp9T1bttf7m0/44dEFiaA2x/3c3pr59avqdjXsb3xHwADh6mF/1e23sO9FXH4/6RGM/Nr2BnMhwacXT8MObD8FWM0b6bc/1czMv8eIfuy5ZuNWZJ60yMgf0/mNnt5ZZ+3UAbPRJnOY6As4G9dhpmz7F7ruN1/wXMy77TRjthZmvOw3wo/8L20zcwg5U1A+V0dOr0179Z2v+h5zy0v0evtcBvMPf/XR3al9JvKIWcKGYwS/TvG+iLrzPgcW/b8EmY98dzMDOs6zHLkPcaoO18iN9k9bqbQ3vPAdr1tm1/hHkWj7Z6XWPpH+v0vbe/6DeE19B7Jzx+oJ6Ox/1PMAb5DGa/6TPoOerdxbbB+zBL+V+w9W5wynqzo9c6jGH6CczA+G9sW63FGHM/sXodh5l1uq+l+Txmi8sJ9L+3DsTMAN6OSJQBS7+BgMe9Q9MZqF2CGTw8CTOzffcButdhIwYM0HZndW19+2Ce/3X27/8wEwHPtGXcFfNu2SOkEwMTAwHdXK/759t6D6a3jWy9rf9C4EDnvf8w4C5OOa929BqkPcn2+QzmuT3M0q3GDMg7K2J/idnD/TfAwxL7ah0Rj3t63491tl8PwnznzsBMLJ1Ab3vMe+m9M1zaN1o5j7d9cXf713nHX2Z/Pwiz3eVbmL3W7gpBdlwa4V/jAoxUGTND+H3Mh/xszKj7NOfBWmJvMNcoeDILPe5fjBk9vY7ey/yf7UP/L5iP6+PtQ9+ZoZuitwQco3Vn3t6B3aNCbx/m/3Ou7xvRaQbHaHH4fF73Z9n/7x6Q4S6Yl/5zMUbLv2JeMg+w1/cbQvtuSzv40n4HvZmhPTEj2nMxYaDeVlCvwb7an4Ue9+/EGCWfoH+5+ix6oUiei9k/dnLnPrD/dx5C+zj84VNeSm/J+EhgE8aI/43Vo4heRw6U6fO4/w5mmevZGOPaNSbea9t3qb3+RcwswmH2+lGYj5RL9xyH7hDMC3c/bOgXjCPFty3fvQfuj10w97d7r/vaZgMLZzaDXvee++XtVtf3Yj4Sz6E3+3kUdjZ9gPZ9Du0eGANnX0evFZjZv49h7ruTMYOnEzEf7iJ6LaN/Gdrncf9q/OGg3kRvD91+mBnTD2IMyKWYd9azh9B+CPPxPBhjRO7iyPDPmP2PH6d/cLOB/veRuyIwbDDh7vV8B8bQeiN2CdOeF+f6m+3xy4AtmIHAfs67+JlDaN/RaS/bZzthDJD/HJDpyZjB+tutHntiBivfwBirg+GsZjDG04xz7rUs9Lg/lp5R0xmgvA1n9QHzLLzH0dl9JkK0ne+FW/+Z9PaU/wXGGebtGIeZD9m2KqLT4KpVZxbU9bp/J2bA7g4y3gH8n3O/drzif4t57qectvDRfszS9u0tx7xDOjOk+2MGS/+MGVR+BDMYK9tXZ7LQ4/5FOPezQ/ts7OAXY/Rutv37P5gZ4ZXA+iG077DyfYj+7TPPwIZBtL/vihmI/RK78jUoS/6r/te4ACNVxtzI/88eH4oZBZ+OeaHuhJkZesIAzy4Yo+HeA+cPsDfpbpil4Afam3gZZtr+I5iPx70xI8Lv2mvDaI/FjI6/h/lIrsB8xNz9OXcBPufIcBnwxohOg3tUV2JeTmvt73cAL7fHu2Fmo/Yf4PlH7LIUZvbiBswyhS+Ui4/2VfSMoaW2/vdgtglcDLzAXtsVs6zywYS+msa8EJ+NcVB5hj0/g5lRPtH+3oB5Kbuj2MdYeQaNpWG0C+LpYQzQd2FelN/BburHLDt+AWNwx/Qa3Md6lK1vvf19OmbW8DAGwq7Ye+Yc4NHOuTUYQ+/X2CVXK4+P7nTM4MHdD7k3Zhb9VMyH++0Y4+4opz/fiTESdx3oj86H+kQGwvNgZkP+j97+4z0whvrx9vd6h+5/6RmFP8PMfH4A6/Xu1BeiPRszq/Y4VwZLcyrmI/kkjPH6HcwzuA7zbMT0Osy5diBm6a8zsPmQvR/OxwxinjJQ92PpLSl+BjOz+Dp7n7yqAO3rMQOtlzt0h2NWHToyvh8zS3dPR/6YXg+mf2ZsA+aDe5z9fTHmnnyv7bOXOLTrMTPy7lans6zMlzlyyBDaz2JmqlwHvlWYd+WT6Z9l3cm216G2vf/R6Ztf4LyjMLOrj/Q8X4dg7uMHY56Bt9t6HmLlWIcxQtw22Qf4ktPvX8O805cWoP06ZnJhKWYA1Flm/2d674y1mHfGZ8vqNKDfE4BT7PHHMA5Hb7C6TmEMvrNt212GXWbGzGxeQG8vaRFa91slmPfCmzHvt2c41z6EGdwW1svW8Qr6VxLvbcvyxYHdH/M8v87W1WnXTrimhxWgXYqZlX/4wDP+QYwRuru9X55Db/vBglXR/Ff9r3EBRqqMeSjfPXDuzvYmfL397Y5uhYIe9/YGH9x39irMC/sK7IxCQVrXw3M9jtFjH8jv2IfgvZiXcGGdHJpCXvfOuTvYF8sMZsn4rzGjZneEHaN93IAex9qH//wB/i9iZhZS9DqSAh73LHTE2hljtPyYgS0BJWnXYV6+r7U07l6x86z8pfSihMe9PfdA2wZH0v/iPgk7cInQ/TWOxyhOIGmr+xMx+8zehFmmuhQzA/wejCH4DwPy7Iz5OC8bOH84BbzuMQbmvey5I3A8VDHGwjud38NoH4oxwgbjm67HzFBvwGyhuBYzm/QuzFL3ML3+fqDtdqGExz1mQPmfmI+Z6/17MMaA3asA7e0wH8zOLPF9gfsP1PNyerP7x9CLO1xIL3u+sMc95p35Ssy99QDg204ZpwyUG6J9Jj0jqvNueDjGoHqW1buzevEVW87XcQK50z/Q3gdzz88M1C8U8LjHvLN2c3hmbH13wsw6vsopI0b7Soe2816Zpuc41tH3AsyAqpROA/rtzxCve1vv/ra9Pz1Q/2fpf8cXpnXa8o2Y9/E59FaAzsPMJJbtq0Ie950+xdxvp2JWIV/o8H8CJ45zAdpnOLQrMYOGz1mdPkv/+/iEUF/kv/S/xgUYqTJmBP0FjBHnjrjXYkbn+w3hPYkCHvcsXDJ9GfC7QJlDaVn40ew89C/E7KP6TopOg+UOXFvgde/UezomQ9DZQ/ijtAM674qTnQcz0v1exb4a6nEf0f8t9H9UCtN6rh+Nmcm5P+ZD+d2Keh1HAY97jEHcWQ57BL09tMcC/1uWzp6bGei3O2A+2BdgluhOc2T8nNW1M6B5Ds6MyeAzOfD7eDxe9/SM1bX0z+bdn4XRFMrQdu7XkzGG7xn2fjkEY/iX1ovyHvePsnVeiPkgLrH8/1uF1tJ3luIPx+xrOx+zZy5Fr8Ie95gB1scwH/KP0Iv48ATgU6m0zj3ycYzB/zZ7v/zQXrsj/QP9u9FbKj4f60E+5BnzetwTeA9gnoFf4bwzy9BGZLmP7ZdKOjm6xLzul9L/vBwPfD+Vlt6zdSfMZMsnMc/UORjDvJReoXa11xZ43A9c3xfz3DwFs0r0vaq0mHfxfvR8Jx6ETfSS/0b/17gAI1fI7Cl6KWZ0/0/2QTkJuKwg/yl4PO6d6317rzAj/gVLg6m09vggjHfjg6vqRAGv+wH6f6C3hyq4v6wsraVZj1mi78w2V+0rr8f9AE2n7Tsf7bsTNpxSaF+GCWz/ZuxsVVW9bBkLPO4D9+pnLN35mA+bb8N/IbrB+9D+3oTZtuDu61qCMez+GzNj8esSeg31uvfQ/w9DliiL0mJmA78N3Ejv4yJV9CLicT9Aez/MjMxZmNmVz6fQDvbPAN8SjMF3ZNX+YojH/QDdwQO/Lwnds2Vo7fUTMTOlj2UgTrCj11qr8z8BXyl4n3g97gO0GzAOLA8pUG4Z2n0wBvqjRqGT5Q163Xto12OM/eC3oCwtxti8g71/9x1RX3k97gO0T8G8c1/FgENvFVpLvwqz9eHRReTOf+X/GhegFqXMR+K+mOn9yzFLpPd3rhfy4g7RDTxkQz3DS9J2N78PviRjOhWRwb4Q7lNU/zJtVbD+aRxniFH2VdE+GCWtc92XkzxJL/B73A/cHy7NWlvPMfTioRaiG6QZqGsaM8v7hiHtvQYzaHqQ51ohr/sh9a/A7MuNevIXpcUssR/rPotl9BpSv8/j3ufFvgKz9HwA/bF1S9P6ZLD/h73Phuo1UH/I437BvdVpT4wRfEYZWga8rRkYIBT5wxju89i9yPZcIS/uEN1AW5wwKlq3bfDEwB2mU6hc/NuZfHSunEIv9Wkyrb1W2JmnSl8NkdV9z02NgtbqNbiy6c1dn/9G89cxEhYtRKTjhbfd/t4bMzt3E2a/0BbMaPZcVf2NiCzBvCivxjjFhOimLd2PMeGKhpVZhnYG8+BfWlSngnrNYJbybigg61GY2asiehWlncHMXl4ywr6acerfs4Csd62BdhnGoLxYVedHqNcdVfXiDn+nbFuWqqqKyLSqzrn1FKEbRhvqm4Bef4uZMXtkmXJFZAPGGPxThK4TWuiWAmUOpRWRGVWdTdGroE4dx5Zbq/bBuPprSP3d82Xrt8+OFqTdG7McP4/Z8vMxNWkiO9eXYPYMf35Y34nIYRinwFfY33vSCwXmK3fGlvsjzOzksPrvp6pfLlBmWdr7Y2I3h94ZfTqV1OuiAu36AMw2p90LyFqGdmh/VeirL2C2fA2jXYbZh3rBiGlnMKtwFww+lxkjxKis2kn5o6DHfUG6J5YoswztguweI9LrSUX1L9NWdenVsKylaUes1xMd+kKe0UXpSpTp3aIwQL924FwR7/RDCtIdVqLMorQPwhMKbZheI66/26510Y5Qr7L3yx3L0FLMM/4Rw3RyaN1ZriLlPrIg3d+UKLM0bVGdJkiv6JaalL5qC23+q+9vih0PF2L2wKCqv1DV8zGjog2Y8EOfx4wqi9B9rESZZWjPqUmvc0roX6at6tKrSVlTaEep18cAROQYzL4yBf5LRP7B8s2pqorIzpj9VKsL0l1WosxfDFPC0t/U+V2i3N0K0v2mRJlFaffDePkW0qtgmfuUlPUXddGOWK+y98vlJWhvxWxB+Hd7/QKMx3xn1nYfjKPYfw7TydGtMxO7d8FyLypI97kSZZaiLarThOl1flG9ypTZBtqYXhkVMQ6Lt01/FPR2LkpXJ+2OrlcbZG2BXsdQwDO6KF2ZMhP0alTWOvRqg6yLWK/KXuQB3QqVW6b+umh3dL3aIGtd/ZX/yv0t+j2jPth9Kk/EOJH8CTMrdRAmRuNhZenqpN3R9WqDrC3Qq7vf0e7Lejxmy8VemE31B5ehK0tbUq9GZa1DrzbIuhj1EhFR+wGydCswjn6/wgzS/qqsTmXKLVN/XbQ7ul5tkLWu/sooiaat4ab+KOCdXoauTtodXa82yNq0Xh7eoCd7Cl1Z2pJ6NiprHXq1QdbFqBcBL/IR6FWo3DL110W7o+vVBlnr6q/8N6TNmxagDX84+alHQVcn7Y6uVxtkbVovS/+3wHmjoitLW1K3RmWtQ682yLoY9cKkwD29SJkl9SpUbpn666Ld0fVqg6x19Vf+C//tkMv0GRmTDjEhdFap40BUha4sbRk0LWsderVB1kWs14LQUqNA0XLL1F8XbRksRr3aIGtd/ZXhRzZGMzIyMjIyMjIyGsOOGNopIyMjIyMjIyOjJcjGaEZGRkZGRkZGRmPIxmhGRkZGRkZGRkZjyMZoRkbGDgkRWS8izx4490WbdSUjIyMjY0zIxmhGRsaOivVA1xgVkRXAzqp6ZWMSZWRkZOyAyMZoRkbGjoozgINF5GIReTNwPPANABE5Q0QuFZH/E5G3NChjRkZGxqJHDu2UkZGxQ0JEDgA+r6p3tL/PAj4L/C8mn/phqqoisl5VNzYlZ0ZGRsZiR54ZzcjIyDC4F/BtYBOwBfigiDwS2NyoVBkZGRmLHNkYzcjI2OEhIgcBf1DVbao6CxwDfAp4KPClRoXLyMjIWOSYaVqAjIyMjIZwM7DGHj8Ya3SKyGpgpapeICLfAa5oSL6MjIyMHQLZGM3IyNghoarXi8h3ROSnwNXA0+2lNcDnRGQ5IMCLmpIxIyMjY0dAdmDKyMjYoSEiy4DvqOrRTcuSkZGRsSMiG6MZGRkZGRkZGRmNITswZWRkZGRkZGRkNIZsjGZkZGRkZGRkZDSGbIxmZGRkZGRkZGQ0hmyMZmRkZGRkZGRkNIZsjGZkZGRkZGRkZDSGbIxmZGRkZGRkZGQ0hmyMZmRkZGRkZGRkNIb/DxIpT0ugBiHGAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 864x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 432x288 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "aly.autocorr(variating_tone_framed).plot(ylabel=\"t/ms\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Use getMaxFrequency to get the frequency components and amplitudes with the maximum amplitude at each time."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 432x288 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "aly.getMaxFrequency(variating_tone_framed)[0].plot(xlabel=\"t/ms\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 432x288 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "aly.getMaxFrequency(variating_tone_framed)[1].plot(xlabel=\"t/ms\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "By performing a 1024-point Fourier transform on the framed results, we can find that all three frequency components can be displayed successfully. The default display is the amplitude spectrum, and the amplitude of the different frequency components can be distinguished according to the warm and cold color tones.\n",
    "\n",
    "We call the frequency spectrum with frame dimension obtained after framing and windowing **short-time spectrum**.\n",
    "\n",
    "We can see that in addition to the main value of the largest amplitude in the center of each frequency component, there are side flaps next to it that are asymptotically zero, which is how the spectrum leakage is reflected in the short-time spectrum. The lower the spectral resolution, the more obvious this phenomenon is."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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5IYQQQoh+ppOz2jvJtGjl7ve6+zXx/GHgVmCdybwAC8xsCJgHLAUeyguZ2SBwPHBMx5UWQgghhJgpNNi5qJdMe3XYzDYAtgWuik5HmtkNZnaGmWUtl+cDjwL3An8ETnD3/Gb1AEcCFyV7hxbFN7Yt1IMjP++YHUIIIYQQ/YKPWu2jl0xrxdPMVga+CbzD3R8CTgU2BrYhVDI/FUW3B0aAtYENgXeZ2Ua5sNYmdMmfMlmc7n6auy9298ULB5/XQWuEEEIIIfoEtXiOx8yGCZXOs939AgB3/7O7j7j7KPBFQoUT4NXAZe6+zN3vB34GLM4FuS2wCXC7md0JzDez23tgihBCCCFEX+FutY9eMl2z2g04HbjV3T+duK+ViL0cuCme/xHYLcosAHYAbkvDdPeL3f2p7r6Bu28APObum3TPCiGEEEKIPmXU6h89ZLpmte8IvA640cyui27/DzjIzLYhTCa6EzgiXvsccKaZ3QwYcKa73wBgZpcAh7n7PT3TXgghhBCijxnVAvIt3P2nULji6iUl8o8Qxm8WXdu7xH3lKj3mePFC6xkDySLi6dVssdg5DFLE+IXIC+Jl4uK84xcUTxYvL1h8vHBh+ySedFH2Kn9FNo5bsLxg0fN27MvrlZ020RUfScKduOhyUX5U5WEaV+lCwg1sLPJTOw8Tfct0LbJx3dHWrf7bwQcKw+0GU128PB9OR8KapgWTKxfL76CN/U6VrWVplW2O8JeBf465rTW6YOy8nQXFG5VlCVONq+71vF5F1zM6udB6I9l0MfqaelVteJIutt+23j7RrUqvIh3LNgFosmh84YYn/YAqnkIIIYQQohdor3YhhBBCCNEbVPEUQgghhBC9QC2eQgghhBCiJ/iIKp5CCCGEEKIHqMVTCCGEEEL0BlU8hRBCCCFEL+j1Hux1UcVTCCGEEGKWoa52IYQQQgjRG1Tx7D/mJeYP+8QdYUZo7Xqz3FpbEmT7TAwlOx/ZuN06Wv6GbWK4cwr8ebLDx1IbneBnKLmBBpOdLjJ/w9ZyS32ne2LUtTH1U2RjlX1VukJ9G1M/RTY20TXNw5QsP5rkYTu6lqVLyjIbGecHim1Mdb1t8O+FYbVDkx14poOpxj/d+qc6lO1g1A865unFfZHt/rL66EoT3NLz4YIdiNLzcbsCJc/ccpvoXrVzUZO4imSrdt0BGIx6pboW6TV+5yWfIFsWV6ZXrZ2LfLxOk8kW6ZXt0la1S9NgUsKldhfvrtc6L9KrKg/LdC3yP1hy7xTpNZTuMGiT6zJdjPbprPbit18HMLOVzOyXZna9md1sZh/JXT/ZzB4p8Le/mbmZLS4J904zu9HMrjOzJYn7R83shuh+uZmt3XmrhBBCCCFmAG71jx5SWfE0s9+Z2Ztzbt+pEfYTwG7uvjWwDbCnme0Q/S8GViuIaxXgKOCqirB3dfdt3D2tnB7v7lu5+zbAd4AP1tBRCCGEEGLW4W61j15Sp8VzGbCrmZ1pZnOi2zpVnjyQtWgOx8PNbBA4HjimwNtHgeOAx2volY/voeTnAijpxxJCCCGEmOV0uuJpZkfHHuybzOxrZrZSta+J1Kl4PubuBwC3Av9nZutTs1JnZoNmdh1wP3CFu18FHAlc5O735mS3A9Zz94srgnXgcjO72swOz4XxcTP7E/AaSlo8zexwM1tiZkv+Mvp/dcwQQgghhJhZdLCr3czWAd4OLHb3LYFB4MB21KpT8TQAd/8k8D7gcmDdOoG7+0js+l4X2N7MXgC8EjhlXARmA8CngXfVCPb57r4dsBfw1hhmFt/73H094GxCBbdIp9PcfbG7L15zYKc6ZgghhBBCzCh81GofNRkC5pnZEDAfuKcdvepUPMdaDt39e8C/Ap9tEom7PwD8ENgV2AS43czuBOab2e3AKsCWwI+i+w7ARUUTjNz97vj/fuBCYPuCKM8G9m+ioxBCCCHEbKGTFc9Y9zoB+CNwL/Cgu1/ejl6lFU8z2y52f9+dncffqxMm70yKma1pZovi+TzghcDV7v5Ud9/A3TcgdONv4u4PuvsaifuVwEvdfUkuzAVxAhJmtgB4EXBT/L1pIrovcFvNNBBCCCGEmFU0GeOZDkOMR34o42qEutWGwNrAAjN7bTt6TbaO56eS82cDS2BskSoHdqsIey3grDiZaAD4urvXmQ0/jrgs0pfcfW/gKcCFFtbMGgLOcffLougnzGwzwhKIfwDeXBSeEEIIIcRsp8lsdXc/DThtEpE9gN+7+18AzOwC4HnAV5vqVVrxdPdds3Mzu9bdqyqaef83ANtWyKxc4r5Lcn4PsHc8vwPYusRP4671tUbmj50PFzT+pgs8jySLj2enQ8liseMXHy/2lzE4biHxiQvIL6vpJ/W3PPGf3mtpUJm+VboW+Un9tWNfqmuqb6prVboU2ThVXQGGvV66pLSja7vpUpWH2y7fYOz863P/MEHXmcRgSR70Kt5+XLy9Dk0WeO9XG7NFuufS2rBh4jYT4xfuHr/4d9FC6clC5QWLh6cbOVhyv2VxpPGn/os2gCjSa7AgznxYowXXi/Qa8JFJwxocF+bEBebrbGCRhVVld5pWRXqVpVWmV1FehHCrFqif6D7eluKF6YviyvwNpflekG5lehXlQdFC89NJh/dq/yOwg5nNB/4J7E5okGxM3Z2LtDSREEIIIcRMoYPrc7r7VWZ2PnANsBy4lslbSEtZobfMFEIIIYSYjYyOdrYF1t0/BHxoquGUVjzN7BRaLZ3rmtnJOQXePtXIhRBCCCFE5/E+7auerMUz7bu/utuKCCGEEEKIztDrrTDrMlnFcx3gUne/tlfKCCGEEEKIDtDZyUUdY7KK5++Ao8xsa+B64FLgcnf/R080E0IIIYQQbTHjWjzd/TzgPAAz2xbYE7ggrsv5PeAyd/9lT7QUQgghhBC1mXEVz5TY3X4t8F9mtiphF6LDAFU8hRBCCCH6jE7Pau8UlVqZ2dVm9ta4XRLu/pC7f9PdD6/yK4QQQgghpgG3+kcPqdPieQBwKPArM1sCnEkY61lron7sml8C3O3u+5jZ6cBiwvabvwEOcfdHzGwu8BXC9px/Aw5w9zsLwlsEfAnYkrDc0xvc/Rfx2tuAtwIjwMXufsxkun39+NZOTzY40RwfSXaXKdoFYahoX43xSxj4yMS6vQ22/JnV9JPunFSla/KVYwNJXB2ysR37avlrw8ap2pfq20jXEhszRpc3ty/Vt0kefv34A1rnfw3/m+xOU7Zb0KDHnUFKdnwq8t+ERrvtRF1GbKTwet24iuzLh9uOruNk20i3Jro0oSjdGvmvSLdO3hvZTjKPsmzMbRWf0xKwibvDjN89JpwPJM/5qLV2QUq3QRmOuyMNjZNtXR8Z28EnsTuJd8yfJW4FeqW7qaV6jST+siiGkx2bivSaM25Hp4l6jdupJ7F7NBZmRWmV18uz/EzSqsjuNK2K9CpMq0Sv0aSATdNtjk8sNz29xwr0SsMfSNJ1NNErI92hcGDMljT+Jnq1wh+Iu1aV7Qg1XXhxFWXaqUwld7/d3d8HPB04BzgD+IOZfcTMnlQjjqOAW5PfR7v71u6+FWELpiOj+xuBf7j7JsCJwHEl4Z1EGF+6OWH7zFsBzGxXwgb2W7v7M4ETaugmhBBCCDHrcLfaRy+pVT03s62ATwHHA98EXgk8BPygwt+6wIsJLZRA6KqP1wyYR+sbZl/grHh+PrB7lEnDWwi8ADg9hrXU3R+Il98CfMLdn4jX7q9jmxBCCCHEbGPGVjzN7GpCC+SvgK3c/e3ufpW7fwq4o8L7Z4BjgHENvmZ2JnAfsDlwSnReB/gTgLsvBx4EVs+FtyHwF+BMM7vWzL5kZgvitacDO5nZVWb2YzN7TpVtQgghhBCzkRlb8QRe6e67u/s5WWtihrvvV+bJzPYB7nf3CbseufuhwNqEbvID8tcnYQjYDjjV3bcFHgWOTa49CdgBeDfw9XyLadTrcDNbYmZLTv/FXQ2iFkIIIYSYGfjoQO2jl9SJ7bA4oQcAM1vNzD5Ww9+OwEvN7E7gXGA3MxubzePuI9F9/+h0N7BejGMIWEiYZJRyF3CXu18Vf59PqIhm1y7wwC8Jraxr5JVy99PcfbG7L37jc9etYYYQQgghxMxiJrd47pWMoyTuXLR3lSd3f6+7r+vuGwAHEsaDvs7MNoGxMZ4vBW6LXi4CDo7nrwB+kJ857+73AX8ys82i0+7ALfH8W8CuMeynA3OAv9awTwghhBBiVtGvFc86yykNmtncrJvdzOYBc9uMz4Cz4iL0RtiK8y3x2unA/5jZ7cDfCZVVzGxt4EvunlV23wacbWZzCGNMD43uZwBnmNlNwFLg4LpLPgkhhBBCzCb6dTmlOhXPs4HvxwlBECp6Z00iPwF3/xHwo/hzxxKZxwmz5fPu95C0sLr7dYR1QPNyS4HXNtFLCCGEEGI2MmO3zHT348zsBkK3NsBH3f273VWrNxzzrjeOnRctr5wuP5uOScg+IkYK3PL+ihJ4eXKehZGGP1zTT+qvSte8v4z0tsx0LfOTubdjX16vwQK31F9RU3WRje3YlydbrrqTediOrqm/qjxM3TZbOdWmIMyCBb/HL1jeuc/iNFwKwu32QunpguZdt7GDYRbGU7LAfJGN7drXT+mWLXD+qLXu5zV8XuI/6mipnxZzfeKC4eMKknTR86hLuqB4kWyqaRp+a7H6RMJaJcVAgZ8yvbI5sOki5aleo5lson+RXuMXhZ+oV2VaJXql83JTvebGEmp50pk4WlC3KUqrcXoVpBXk8iOnU16vlWIcqZ8qvYYL8zBdgD45r9CraBH/ooXmp5N+3TKz7l7tlwKXdlkXIYQQQgjRAfq1xbPOOp77mdlvzexBM3vIzB42s4d6oZwQQgghhGjOTJ5c9EngJe5+a6WkEEIIIYSYdvq1xbNOxfPPqnQKIYQQQswgiga69gF1Kp5LzOw8wjqZYzsXufsF3VJKCCGEEEK0z0xu8VwVeAx4UeLmgCqeQgghhBB9yOhMbfGM+6oLIYQQQogZQr+2eNaZ1f50M/t+3BEIM9vKzN7ffdWEEEIIIUQ7zORZ7V8E3g38N4C732Bm5wAf66ZiveCGoUfGzpczcVHjoaRenmZLtmxs6if1nS6YO8jEDB1JFp5dHs/TL4CieFM/owXLq1fpmtc3Y6BA1zI/2Vk79oW4Juqb+m7HxnbsK/PX7Tys0jX11yQPb3y8dT44OLUCpMjWcdcLFkie6kLwRWGWhVulX2VcJf4z9ya6NIq3Qbp1w8ZupdvY9Q6kWxbCZiOLSsIKT8JQyUsyW7Q8vbosWax+OFlUPVsQfDjRO33OBgrsTRcRH4w6DFuy6HsSfuY/Db9KrzT8Ir2eKMmDzN9gki6pXoMe8mCoJPw01KVRr6K0Sv2laTVUoFe6gHx6NdMr0ymvV9EC7EvbzMO6eg0mi8anaVilV3o9K5fnUrIw/zTR6QqlmS0CvgRsSUjuN7j7L5qGU2dZ+/nu/suc2+RbpdTAzO40sxvN7DozWxLdXmlmN5vZqJktzslvZWa/iNdvNLOVCsLcxsyuzMI0s+2nqqcQQgghxEyjCy2eJwGXufvmwNZAWyse1Wnx/KuZbUz8mDCzVwD3thNZAbu6+1+T3zcB+xFbVzPMbAj4KvA6d7/ezFantdNhyieBj7j7pWa2d/y9S4d0FUIIIYSYEYyOdG7LTDNbCLwAOATA3ZcCS9sJq07F863AacDmZnY38Hvgte1EVkW2Xmi6H2vkRcAN7n59lPtbWRCEWfgAC4F7uqCmEEIIIURf0+Gu9g2BvwBnmtnWwNXAUe7+aNOAKqvD7n6Hu+8BrAls7u7Pd/c7m0ZUFDRwuZldbWaHV8g+HXAz+66ZXWNmx5TIvQM43sz+BJwAvLcDegohhBBCzCiadLWb2eFxiGJ25OtlQ8B2wKnuvi3wKHBsO3pVtnia2Qdzv6NB/h/tRJjwfHe/28yeDFxhZre5+08m0fP5wHMIa4p+38yudvfv5+TeAhzt7t80s1cBpwN75PQ/HDgcYNOB17HWwM5TNEMIIYQQor9o0uLp7qcRerfLuAu4y92vir/Pp82KZ50BAI8mxwiwF7BBO5GluPvd8f/9wIXAZBOB7gJ+4u5/dffHgEsINe88B9Na2P4bRWG6+2nuvtjdF6vSKYQQQojZSCcnF7n7fcCfzGyz6LQ7cEs7etVZQP5T6W8zOwH4bjuRJWEsAAbc/eF4/iJgshbU7wLHmNl8wmDWnYETC+Tuidd+BOwG/HYqegohhBBCzES6sD7n24CzzWwOcAfQ1gZDdSYX5ZkPrNtOZAlPAS6M3fZDwDnufpmZvRw4hTCe9GIzu87d/9Xd/2FmnwZ+RRgbeom7XwxgZl8CvuDuS4A3ASfFWfCPE7vUhRBCCCFWJDo5qx3A3a8DFlfJVVFnjOeNtNZlHSRUCqc0vtPd7yCsAZV3v5DQ7V7k56uEJZXy7ocl5z8Fnj0V3YQQQgghZjr9umVmnRbPfZLz5cCf3X3KC8j3Aw9aawmqkcpdb1pfDtmuOiPjdvVp7ZmQ7miQ+Uuv+7hdb0YnjStzT+NKd6/Jrhf5ycdb18YyP5l7kX0pVbqm/lK3svQsiivz166uRf7K8tBiXGW6tpOHRfal/qryMHVb4MMTwynZSWawwBYS2RErurcqdq1Jro9Po4m6lO0kVTfcdB+cIhtLdyaKskX25cOtq0s/pdtghS5N0q3o3ihLt07m4VA8X83njLlZ8phkOxc9UVKmzM12/Ur8pLveLB/3fAd/6Y406Tv6CZ/4nM1Ny5IoPJJEVqRX6qdKr/E7BCW7rNl4ncr0SnfdWZZEtqygfEr1SlkW40jTqkivorRKGU7vkQK9liVple4wNFyg1zIvzsPWzkXJs5Pa7ROrN0V6FaVVu3oVyU0nXvyamXbqVDwfzv1eNV1n093/3lGNhBBCCCHElBidwS2e1wDrAf8gbG+6CPhjvObARl3RTAghhBBCtEW/drXXaRe+AniJu6/h7qsTut4vd/cN3V2VTiGEEEKIPqMLe7V3hDoVzx3c/ZLsh7tfCjyveyoJIYQQQoipMDo6UPvoJXW62u8xs/fTmlH+GrQHuhBCCCFE3+KjM7er/SDCEkoXEnYFWjO6CSGEEEKIPqRfu9rr7Fz0d+AoM1vg7o/2QCchhBBCCDEFZuzkIjN7npndAtwaf29tZp/vumZCCCGEEKItZmyLJ2FP9H8FLgJw9+vN7AVd1apHPEFrHfzlNnGl1SFPFz+euHhvkR+A5Z4uQjuxbp8uqp4NwRhIghooWIi4yM94XYsXVU4XGq5rY5Wfduwr0zfVtR0b29U19Zedp3FO1cZ2dE39NcnD4USXbEHugZKFvSsXSi9aXLxkIfMxyharL3HPXy/TtSjcsjCLFicvSsPShfXb0KVKr26lW0rdcKt0aee+SN07kYfZRg23Dj4w5rbf6BotHeOtv9xTPy2GY7A27jlunY8k54NRZihRJX2ylo1OdBtKwh0cmBhmkV5zUlMr9BpMrhfptWx0olsaR2p3kV5pWs0pucUy2aK0SvUqSqvUPQ2/SK+yPCzSqywPs/wYbJCHRXpV5WGZXksL7B4qeQymi5EeTxqqSy2t3P1POaeqcgoAM1tkZueb2W1mdquZPdfMnmRmV5jZb+P/1aLsa8zsBjO70cx+bmYTttSMcruZ2TVmdpOZnRX3ZcfM9o3+rzOzJWb2/Do6CiGEEELMNvq1xbNOxfNPZvY8wM1s2Mz+ndjtXoOTgMvcfXPC3uy3AscC33f3TYHvx98Avwd2dvdnAR8FTssHZmYDwFnAge6+JfAH4OB4+fvA1u6+DfAG4Es1dRRCCCGEmFX4aP2jl9SpeL4ZeCuwDnA3sE38PSlmthB4AXA6gLsvdfcHgH0JlUfi/5fF6z93939E9yuBdQuCXR1Y6u6/ib+vAPaP/h9xH9uZdAGUbIYthBBCCDHL6dcWz0nHeJrZIHCSu7+mjbA3BP4CnBm7za8GjgKe4u73Rpn7gKcU+H0jcGmB+1+BITNb7O5LgFcQtvPM9H058F/Ak4EXt6GzEEIIIcSMp1/3ap+0xdPdR4CnmdmcNsIeArYDTnX3bYFHaXWrZ+E7uZZJM9uVUPF8T4E+DhwInGhmvwQeJhlv6u4Xxm79lxG66ydgZofHMaBLHhj9WRtmCSGEEEL0NzOyxTNyB/AzM7uIUHkEwN0/XeHvLuAud78q/j6fUPH8s5mt5e73mtlawP2ZBzPbijA2cy93/1tRoO7+C2CnKP8i4OkFMj8xs43MbA13/2vu2mnE8aPPmHOKuuOFEEIIMevo9VaYdSnVysz+J56+FPhOlF0lOSbF3e8jTEzaLDrtDtxCWJYpmxB0MPDtGN/6hJ2RXpeM4SzS68nx/1xCq+gX4u9NzMICCWa2HTAXKKy8CiGEEELMZkbdah+9ZLIWz2eb2drAH4FT2gz/bcDZsav+DuBQQgX262b2RsKs9FdF2Q8SJg99PtYfl7v7YgAzuwQ4zN3vAd5tZvvEcE519x9E//sDrzezZcA/gQOSyUZCCCGEECsM/VoDmqzi+QXCEkUbAksSdyOMy9yoKnB3vw5YXHBp9wLZw4DDSsLZOzl/N/DuApnjgOOqdBJCCCGEmO142Q4u00xpxdPdTwZONrNT3f0tPdSpZ6S7wKQ70WSMJlsupDv8ZHmZ+hlJ5kgNW7pDTkG4ieyyeH0wjWvcCAif4Ge0aKWoJM6B5DNn3G48NW0s85PZ2I59AIPpXhAxjFTXND/q2lhl30C6bUayWFmRvynnYYF9qa6V9iX+qvJwZNxuRsW7VhW5Ve40U+JvMrfUlqpwi3YTaleXouuVuwVVhFnmpx0b202XqutFNpbFNbPSLXDN588bc3vs9XeNndvy8LoaWNbSNd0EaXQ4zjMdaO1vYsuGW+EvT+69oaCXDy9LAhhsyS4L58mjxehw64cPLR+nU5leo3OXUkSRXplOZXplOuX1GplbYHeBXuPSqkKvcWlVYHdRWqWM5UWJXqV5WKBXaR5GvcZ0alOvsjwszY9J9ErTCg6Y4KfX9Ote7ZWTi2ZrpVMIIYQQYrbSr8sp1ZnVLoQQQgghZhCjM62rXQghhBBCzEzU4imEEEIIIXrCTJzVLoQQQgghZiDdmFwUt1JfAtzt7vu0E4YqnkIIIYQQs4wudbUfBdwKrNpuAP25n5IQQgghhGib0RGrfdTBzNYFXkzY2rxtVPEUQgghhJhlNNky08wON7MlyXF4QZCfAY6BgsWtG7BCd7WnC44vK0jH4aRenqxbO7Yo8kjJou5pWMMFdfv0etFC4gMFbmXhtxZlTtySRdPL/BXpt7zgo6fIxqnaF/SeuAB8la7j/NvEhbPbsQ9aNnYrDzMb27Ev769I19V87tj5P+wJILeYfU6z/PX0PM3vojCKwx2ouF7mf6Iu9fw11yU7b8++8nAn17XddKm6PjHc6cvDKj/1w802zvj995815nb/V1qb3A0Mxo0aBluLgKdj2EaWD05wGxxqyQ4MJM/s6MA4PwCWbPCQ+UvdRkZasqMjA+N0KtMrDb9Kr0ynMr1SP0V6ZTqV6VWUVmV6FaVV6q8orVL3orRK9arKw9R9aLi1QHwab1Uepv4yli9rVXmy8MvukVSvzF+V3WlaPfcHTDtNJhe5+2nAaWXX41bl97v71Wa2y1T06mqLp5ktMrPzzew2M7vVzJ5rZtuY2ZVmdl2sVW8fZVczswvN7AYz+6WZbVkS5oZmdpWZ3W5m58V94LNrrzKzW8zsZjM7p5u2CSGEEEL0K01aPGuwI/BSM7sTOBfYzcy+2o5e3e5qPwm4zN03B7YmDEj9JPARd98G+GD8DfD/gOvcfSvg9dFvEccBJ7r7JsA/gDcCmNmmwHuBHd39mcA7umGQEEIIIUS/417/qA7L3+vu67r7BsCBwA/c/bXt6NW1iqeZLQReAJwO4O5L3f0Bwubj2WyohcA98XwL4AdR9jZgAzN7Si5MA3YDzo9OZwEvi+dvAj7n7v+IYdzfcaOEEEIIIWYA7lb76CXdHOO5IfAX4Ewz2xq4mjAN/x3Ad83sBELF93lR/npgP+D/Yvf704B1gT8nYa4OPODu2eCNu4B14vnTAczsZ8Ag8GF3v6w7pgkhhBBC9C8jU5oCVI67/wj4Ubv+u9nVPgRsB5zq7tsCjwLHAm8Bjnb39YCjiS2iwCeARWZ2HfA24FpgJB9oRXybArsABwFfNLNFeaF05tbDIz9vwywhhBBCiP6mw2M8O0Y3K553AXe5+1Xx9/mEiujBwAXR7RvA9gDu/pC7HxrHfr4eWBO4Ixfm3wiV06yldl3g7iS+i9x9mbv/HvgNoSI6Dnc/zd0Xu/viVQafl78shBBCCDHj6eQYz07StYqnu98H/MnMNotOuwO3EMZ07hzddgN+C2Mz4LMZ6ocBP3H3h3JhOvBD4BXR6WDg2/H8W4TWTsxsDULXe77iKoQQQggx6+nXime31/F8G3B2rFDeARxKqCieFFstHweyRUqfAZxlYUGsm4mz1QHM7BLgMHe/B3gPcK6ZfYzQHZ911X8XeJGZ3ULoon+3u/+ty/YJIYQQQvQdve5Cr0tXK57ufh2wOOf8U+DZBbK/IE4QKri2d3J+B7F7PifjwDvjIYQQQgixwtLjhszarNA7F5XtPFR0vch9tMJ/mXuVvypdyuKaTNc64Vb5qatru+kyVV2Lwi+7XiTbyTxMdyYq2jWnLK66+ZH6/+PAw2PnT/KVgHRHq/FkOypVXU9lityq/OTdJ7teR5eh+OW+3NrTZbIw03DbTZfxsp1Jtya6lF2farplL4jRDupalm7Zc/Kur//LmNtTRuck1zOdWnGlIS2Lv1K3VHYwcc9mrS5PpFMLhuOv1C2VzfynYRbptSzxU6VXOpO2SK/hxE+RXqn/Ir2K0ipPkd1FeqXX5xTkfVFapbqk+lXpVWZ3UR6W5cdkepXdI+3oldr63Ak+es/IitjiKYQQQgghes9onzZ5quIphBBCCDHL6NN6pyqeQgghhBCzDbV4CiGEEEKIntCn9U5VPIUQQgghZhsjfVrzVMVTCCGEEGKW0aWt2qeMKp5CCCGEELOMPm3wVMVTCCGEEGK2oRbPPqRqIfYm10eslcUD3lqGtmhB8EJ/PtDcT85flY7Fuk6+wGxRvFX2lcXVjo2DiZ8mC7m3dK1eQHdssfkGeZhSlIfpgtpFGw5U6VLmVqTrxqMLx87/yfIJ/lNdMv9FbmX+yhYPL/JfFW6VLlXhDpVsKlyla5UuWbhNdJnudGsSbppu052HZek2HJ+fewcfG3NbahM3YhguKROWR9n0ZTtMS3YwKQtG4oL66UYPaUk6FONI7VqW6JI904PJ9SK9lid+qvQaSRb5L9JrqKSsz/yl5VSRXkVpVaZXUVqlehWlVUpZ+FV5mOZ3Xqe8Xll+jIy7x5rrVZaHZfkxmV7LCvSfTnq9B3tdel7xNLPNgPMSp42ADxIW+t8sui0CHnD3bcxsA+BW4Nfx2pXu/uaCcI8HXgIsBX4HHOruD3TBBCGEEEKIvqa/qsEtel7xdPdfA9sAmNkgcDdwobt/JpMxs08BDybefufu21QEfQXwXndfbmbHAe8F3tM5zYUQQgghZgYj1SLTwuT9tN1nd0Kl8g+Zg5kZ8Crga00CcvfL3T3rZ7wSWLdjWgohhBBCzCBGGxy9ZLorngcysYK5E/Bnd/9t4rahmV1rZj82s51qhPsG4NJOKSmEEEIIMZPwBkcvmbaKp5nNAV4KfCN36SDGV0bvBdZ3922BdwLnmNmqk4T7PmA5cHbJ9cPNbImZLXl05BdTMUEIIYQQoi9Ri+dE9gKucfc/Zw5mNgTsRzL5yN2fcPe/xfOrCROHnl4UoJkdAuwDvMa9eD6Xu5/m7ovdffGCwed2yhYhhBBCiL7BG/z1kulcTinfsgmwB3Cbu9+VOZjZmsDf3X3EzDYCNgXuyAdmZnsCxwA7u/tj+etCCCGEECsK/TqrfVpaPM1sAfBC4ILcpaIxny8AbjCz64DzgTe7+99jOF8ys8VR7rPAKsAVZnadmX2hW/oLIYQQQvQzIw2OXjItLZ7u/iiweoH7IQVu3wS+WRLOYcn5Jh1UUQghhBBixuLWnyvIr9A7F6WMFOw4kO5eU7UDUEqdHWomo2r3miIdUl3LKNK3HV2nuuNTmUz1LkuT29gp++r4a+d66e5TCe3YmO5WtMjnhnAqdpKZqTsXtatrP+kyWZhNdG0S7kzIw4U+DMCTlg+Pud2Z7GKUdc8NW3FHXba7TPqEzEk69SxRMdNgacnORUVxpLvXZGdDid2DSQRF4acU6ZXuwLO8YDeeJnYX6ZWmepVeaVoV6dVOWqV6FaVVmV5leZjpVZRWTfSqysMmelXtctdrOtnVbmbrAV8BnkJIntPc/aR2wlLFUwghhBBiltHhMZ7LgXe5+zVmtgpwtZld4e63NA1IFU8hhBBCiFlGJ2eru/u9hOUtcfeHzexWYB1AFU8hhBBCiBWdbnX9m9kGwLbAVe34n+6di4QQQgghRIdpsoB8urlOPA4vCtPMViZM+H6Huz/Ujl5q8RRCCCGEmGV48Zy/YtlRPw04bTIZMxsmVDrPdvf8cpi1UcVTCCGEEGKWMdUVdlLMzIDTgVvd/dNTCUtd7UIIIYQQs4wO79W+I/A6YLe4Sc91ZrZ3O3qpxVMIIYQQYpbR4VntP4WSBXsbskJXPJssAl62QHJGOnusain3dBHwMX9NFkofF9fkizJPtam9SNfqpeoT/2n8bdg4WLGYdenC+g10zWxskodFcTWxr4zaC+snbi9ctubY+TrzJm5+Nm7R5dG4gPNAy7+X3CJjiyKPtgIYKNgJYzQZSFQVbhNdisJtomsTXerq2q4u3Ui3Jrp0K90yf0X2QbM8XGPR4wB8/76Vxtz+aa3NEbKFvkdKAlhq2ULqyUYN3urUK1r4fmn6zCbXi+JYnshmi5ani48P+cQOxDT8Kr3S60V6ldmd6ZUupF6kVxr+8iS/ivQq20Qg06sqrcrszvRK06rM7rxO+XiL7G5Hr7I8bEev5SUbg0wXy6f4/u8WXe1qN7OjzexmM7vJzL5mZitZ4ONm9hszu9XM3h5lNzezX5jZE2b275OEebqZXW9mN5jZ+XGGFWb2ZjO7MTb//tTMtuimbUIIIYQQ/Ypb/aOXdK3F08zWAd4ObOHu/zSzrwMHEppq1wM2d/dRM3ty9PL3KP+yiqCPzqbwm9mngSOBTwDnuPsXovtLgU8De3bWKiGEEEKI/qeTk4s6SbcnFw0B88xsCJgP3AO8BfgPdx8FcPf7s//u/itg2WQBJpVOA+YRt1TNrSe1IHMXQgghhFjR8AZ/vaRrFU93vxs4AfgjYZulB939cmBj4IC4QOmlZrZp07DN7EzgPmBz4JTE/a1m9jvgk4TWUyGEEEKIFY4Oz2rvGF2reJrZasC+wIbA2sACM3stMBd43N0XA18EzmgatrsfGsO8FTggcf+cu28MvAd4f4leY6vzPzZyZdOohRBCCCH6nhG89tFLutnVvgfwe3f/i7svAy4AngfcFc8BLgS2aidwdx8BzgX2L7h8LiVjRd39NHdf7O6L5w/u0E7UQgghhBB9zah57aOXdLPi+UdgBzObH8dj7k5oofwWsGuU2Rn4Td0A44z4TbJz4KXAbfF32mX/YuC3UzVACCGEEGImMorXPnpJ12a1u/tVZnY+cA2wHLiWsA/oPOBsMzsaeAQ4DMDMngosAVYFRs3sHYQZ8Q+Z2SVR7j7gLDNblTA7/nrCZCWAI81sD8LkpH8AB3fLNiGEEEKIfqZfZ1h3dQF5d/8Q8KGc8xOEFsm87H3AuiXhpNsy7Vgic1SbagohhBBCzCr6dTmlFXrnopSiwbVle89UZWa62w8Fu1lUUbhTTQd2RKhr41Ttq6NrFkdHd4Rq8JB128aqXa/KdG1nv6NHk7DuezyEULlTTXJ9oOB6KjPYZIefknAz0lTLwq3StV1dmujaji5lT3ZmY7fTrUm4U9WlF+l2/eNhx6K/DSwdc1tGaycujz5HS4qMTHbcs53IFu3Gk4Y/7jktiGMkyYXl8dwTa1K9svBTP1V6pdcL9Wpgd5Fe43YoqtBr3A5ABXZXpVWqf5FeRWmV91cUfpFeyxP92tGrKg+b6DVCr+eHT44qnkIIIYQQoif0erZ6XVTxFEIIIYSYZajFUwghhBBC9IReL5NUF1U8hRBCCCFmGf014rSFKp5CCCGEELMMdbULIYQQQoie4Kp4CiGEEEKIXrC8TzvbVfEUQgghhJhlqKu9D6laBLxyEfE+yNRMh3Th8SY323TbOG5R4waL5Ne1caqL+TehbLH7scWkO2BfUX58b859Y+dPHV0w4Xra3WJxoeMitzJ/6fWirpuy60XhVulSFW67uvaTLpOF2UTXdnVpomsv0+2+gUcBWOhzx9yWFyx0Pifxkz4nmWzZ5g1esIB86eLjBW5LSxZFL6Io/Cq9lhcs1F5HryK7J9MJxttSFK4XhJ+ep/EX6Vdmd5VeRS10ZXmYyZal1XTo1W8tjP1a8ezqm9jMjjKzm8zs5rj3enrtXWbmZrZG/P1uM7suHjeZ2YiZPWmSsE82s0dybq8ys1tifOd0xSghhBBCiD5n1OofvaRrLZ5mtiXwJmB7YClwmZl9x91vN7P1gBcBf8zk3f144Pjo9yXA0e7+95KwFwOr5dw2Bd4L7Oju/zCzJ3fBLCGEEEKIvmdFbPF8BnCVuz/m7suBHwP7xWsnAsdAaaocBHyt6IKZDRIqqMfkLr0J+Jy7/wPA3e+fmvpCCCGEEDOTZYzWPnpJNyueNwE7mdnqZjYf2BtYz8z2Be529+uLPEXZPYFvloR7JHCRu9+bc3868HQz+5mZXWlme3bGDCGEEEKImcUoXvvoJV3ranf3W83sOOBy4FHgOmAu8P8I3exlvAT4WVE3u5mtDbwS2KXA3xCwaby2LvATM3uWuz+QC+Nw4HCAVYb2Y97gDk3MEkIIIYToe1bErnbc/XR3f7a7vwD4B3AzsCFwvZndSaggXmNmT028HUhJNzuwLbAJcHv0P9/Mbo/X7iK0hC5z998DvyFURPM6nebui919sSqdQgghhJiNjNho7aMOZranmf3azG43s2Pb1avbs9qfHP+vTxjfeZa7P9ndN3D3DQiVxe3c/b4otxDYGfh2UXjufrG7PzXx/5i7bxIvf4vYEhpnyj8duKNLpgkhhBBC9C0jeO2jiji/5nPAXsAWwEFmtkU7enV7Hc9vmtnqwDLgrflu7wJeDlzu7o+mjmZ2CXCYu98zid/vAi8ys1uAEeDd7v639lUXQgghhJiZdHgd7u2B2939DgAzOxfYF7ilcUjuvsIfwOGdlJtpstMdv3Sdftnpjl92TX/8s1XX2WrXdMc/W3Xtll39fhDmvixJjsNz118BfCn5/Trgs23FNd3G9sMBLOmk3EyTne74pev0y053/LJr+uOfrbrOVrumO/7Zqmu37JrpRycrnt3dQ1AIIYQQQsx07gbWS36vG90ao4qnEEIIIYSYjF8Bm5rZhmY2h7AC0UXtBNTtyUUzhdM6LDfTZKc7/iay0x1/E9npjr+J7HTH3y3Z6Y6/iex0x99Edrrj75bsdMffRHa6428iO93xd0u2SZgzGndfbmZHEiZyDwJnuPvN7YRlsa9eCCGEEEKIrqKudiGEEEII0RNU8RRCCCGEED1BFU/AzGy6degGZqb8nSHM1ntQCCGaovJwdqOKCeBdHOjajQeobpjuXm8D1vZ06Pi9U2WXme3cMLzGOk5XfjW5B/vhg6JJOuklMv3UzYO4Ld6Moo5tDexfuR/SoEZZuErD8Ka9zIBqPczsKKhfHraTX10q4/sifWcKK2ximdnLzeydZvYNM3tV4j5QdGOa2Upm9l9mNr/Gw2NxyYENsgeo7GY3syEze4mZ7RX3qi8Lc9jM9jGzlZMwJ+hhZvub2fvM7GIz+5dO2hXlVzezNbJK7SR2DZrZ88xsm8StKP66dh0FHG5mtVZiMLOVgJPMbM18wZTXo25+1c2rRHaxma1UFqaZ7WtmbzGzc83swMS9NB+a2NVN3N1rPAdrJLJVL9IBM3tSJ3Vsl4r0f46ZPTXnVmpbN+1q8sKdLL/MbDUze0aUG4luVfnVtXutjl11yg0z29TM1oV6FZn4bJ0MrJsvZwqe3QEz2y4+42sXyeR0PcTMDjWzraZiU3R7F3Cyme1c596arMwokK1lV12bEtk3mdmi5L0xQQ8zewdwopl93sJW21XPVpP86kYZX8suUcB0r4Y/TSvwLwT+ABwMHArcBFwK7DCJn08BX8vu2fh/fonsfwHfBO4HTqzQ5dPAJcC1wIei25wCuY8DfwJOBPadxK7rgVcCHwCOBNYHNuqQXR8BzgEeA06osOtTwMXA34FjJpGrY9cqwJ2ZHcAzgCOAPYDVUt1z6frVeD5I+Mhabyr5VTevovuJMS+OAv6lJK9uIux1+3LgEeAHwLY17pe6dm0AvAR4co1n4sXAW4FdK+TeCLw65zaY+70qcGpMq+9Pdv/l7pc3l9z7+bzthl0vB16YcxsoyLMfAutW6dimXdsCrwWeAyycRNfXAscCbwIWTCW/gEWE5/Rm4Bpg1ao0jf6OJ+xcMlQhV8umNuyatNwAViPsIX0c8NI0blrlXD79TwTOjOdzgPnAdpPYfxFwA3ASJWVmlD0B+A7wdeA/o9tTm9qUyL075tcJwNvj87AZ8PQSu5qUGbXsqmtTdD8GeBS4gJItJuOz9QvC83oicECNe7BJfnWjjK+0S0dJOk+3AtNidKhwfivndjTwZ0LlKv/CeTJwXVZ4ESoTXwM+A7wBWCmR3Qy4ERgG1gS+BbynRI8NgVvi+XCU/e948x8GzEtktwS+QXiJfZZQQL8deEO8boSvvxPi738F7os63gt8YYp2bU6oSK1B2LHg4rLCAdgYuDGePwk4KxZUHwF2y8nWsetpwDfi702BX0Zbf0SoCM/Phfkk4OfA2vH3h4HzgNOBjwFPaZpfTfIqyuxCqKR8KNr+CuA1wIvj9X8nFprx90uA/4t59ebM9inY9YwoeznhJfKmSZ6HLWLefiHKbgPMBdbIya1OeDH+Mqb7ntF9Qfw/EP9/jlDxfErU6wtJGBNe+jFPfwOsEn+vDSym4EOwS3Y9BXiI8AL5OPFDgXj/J3adAnw4eXZ2iHmwTkn8TezagrBA8zcIL753TWLTdfG+ugx4QcyXTQtkK/OL8Bx9PP4+mXCffgp43iTpuhnwa2LFn1DJexqwWTs2NbWrZrnx4Rj3kdGuY4HnA3Pj9ZVz4S0EvgdsEX+fCJxLqFidQ6zUJfbfFM9XBb4KnFyi59OAW5Pf3wPOBr4E/CdJZa2GTRaPjYD/Bd5BeM5OJnyYH1gQf9OysNKuJjbF6+sQyspXAl+Mcf8HcGxi10nAJ+PvVwN/IbyTB0rStWl+daOMr7Sr7H5f0Y8Vtav9YuDvZvb8zMHdTwT+hdBCuEYq7O73E15ga1voOn4F4YG/lfA1nXY1vB640N2XuftfCJWtfc1sEYCZ7WRmC6LsBsAdFsbrPB/YiVDx+zWhIrJV9DMI3A78lVDIfxWYR3jInxm7W+YBdxBufIB9gJPc/R3A1oQXZbrdVVO7jgC+7u5/dfe7CA/aW2J3B2b2zER2O+C38XwrQmvSTwlfpR/OZGP3yKR2eXiC7wIeNLN/I7SynO7ubye0eM4hVPJSu/4OXAlsZGabAjsTCtnzgLViemQcQr382ogaeRX9DAJXR9vuJbz4X0AopJ5hZvMILYFPZPEQKjH/DexKeAkTbW/Xro8DZ7v7i4C3AYdk3VcFvAf4nLu/mfACOYbQmvHO7BkxM3P3vxFa0i8iVNLeZGanABeZ2UJ3HzWzTWLavM3d/0x4gW5jrfG5Cwps2wn4obs/bGb/CnyF8BF0rJm9P3Z/Zd1i3bDrz4SPg98R8utQM/t34Iux23PUzDYE3gLcFsM+jnAvbgtcZWavK4i/iV0fJdzXrwTeD7zazLbIAkq6Eo8mVOQ/QqjMfRg4A3hPpkMWZlV+EV7ezyJU4iHco3sQ8ujTseuziL0JH+73m9nuwJcJlZ9/N7PXJDrUtamRXTXLw28TKjCnEXqzViGUbwea2T7AL81sfha5uz8IXAFsZmEoxRaEj8P3A38klGkZryC8Q3D3hwj31bOTrul9zWytKLsq8Acze5qZvRB4JvBJQgVzLcLHUC2bvMUdhGf+AXd/C+F9NSfK7ZV2ITcsM15Z066FdWyKfoYIDSAPET66PkKoBL4L2NrM1iHcb/cT7lXc/RzCO2OrNKyUhvl1MPXK+A1oVsbfO5ld+fJbJEx3zbfXB+HrapDwAvgeYdunIVpfwj8GXpHKx/9vAc4nfNW9Mbn+fuBjye9nEL/8E7/fJlT6tiV81aetPZ+MblcAb0/cPwh8Iqf704BT4vlJUdeP02rlzGwYBnbO6XAx8PJJ7PpimV2ElpGdgGfm9LmMUDj+C6ECm4W5EqHCcQmh++TwxM/xwFG5cNafzK7ovg3hBXc28Algzeh+HgXdHDFffx6vvzVxfxvwxeT3JrS+mifNL0JL0PV18iq6P5/YrUP4Gl4Sw3gnoYvzazF9vkhoHV0jyn4X2D5/38b/r4l+vg4cWWQXocX5EmJLW5JO74znWxBbtAgtgCfF9J5P2Hv3EGBHwkfMl0haHQgvmcsJXafrAFcRCvp3EF7uzwAOze6b+P/oLL0IrQgH52xbB/gfwgvts4TutlWB58b4V5uiXfPK7ErS9bkxrG0JL+erCa2V+0f/axBaz86I6f+rRIeXED7y8vlf1671Y7qslfhNWyK3AvYjlFMfIDwHawL3ECpXmxI+eM+k1UprNfPriBjel4Cbk/ifTbjHFhbYtRWhdWklQuvSPlGH18Vw5hKen0qb4vlgXbsKyo3PFpUbhHI+7bFZM4b1YcKHbFpmZ2n1opjn3yW2WkX31xN7XOLvNYBnZLrH/2cTKiDPIHTTpmX8xwiVlAtIhh0RnovTm5TxObmzCL1PtwB7EVqL9y1Ip1dTrywca2GusivGdU8dm5J3wmfi+UcJz/EHgHOy5zW5F4xQFn2E0AhS2PpO+AD6bY382gzYsmYZ/2malfErEVuFi+zSUXxMuwLTanwYX3cloYB9J6GL+epJ5A8jFLQ3Ay+Nbj8AXpuTmx//Zw/vx+JDfgHw+pzskwgv1L0IFcAdovt3gdcV6PCxeGPfSfi63AR4OpQ36wPPA34+yfU3RrtuqrBrXvw/FP+fCryM8KX7+uiWVTa2BLaPhcDngU2i++WEsVxPy8l/tMiuXPw7Eipwl8WC4PPA/+Vkdk7OdyW8tP4CHJa3K5++ZflFqyK1UlVekXtB0moZu53w4t+FZBwnoZKzNa1uy91IKgAl+bVbYtcbC+yaS/jiX5D4eR7wlXj+Y5Jxf4RKwCXAhcCPcnH9mIkfHIfEPFyX0Mr+KkKlYdfsns7J70KogD0P+Enu2gDhRfMpQovBD0nGUBJayneO53OiXSs3sOuymI8/rGHX+wgt/RsQxoAfTfgoeE6S/1sSWqFenPh7Ibn7MLpbzP9J7Yq/NyQZMkJ40WfDS76X2QU8lfAReT5wSS6+n1E8nrg0vwhlx1sIlcezsjQhvJCvneQePJXQknoJ4yt4P0nSa0PGfyQU2hR/rxXz6nzg0jp2xWsfIpQbf6C83EgrgUcCf5zEro2jbUsJLX6rxrx7bYn8cPz/dsJH9f+SK+Pj9TUIHxzfA/ZJyw0mDoHKyvhSmxJb/kpSecxdXzU5T8uMorLwWTl7Cu0CtkrCXL3Mpni+Ty6s90Yd7iXcx3MJZeJk764PED8uErej6uYX8eOuIL8+zvgyfs1EZhPCR+L5wHPzdhXoeEy06+7UrjKbdKzgFc+xRAgF8zuAw4mFZnR/OaFCej6hgjWP8KL7KGGg8neAU6PsUykZPE/4YlwOXJHIThjET3jRnRMfnG/Gm/+dhK/O3aPMtrHAOHoSe9LJA+tEPdNW3P0JL9lLYngrEyp1RXYdFR/S9Zk4ieRfgVHgu4nsxxj/gp1DaKH8HKHwuogwhunfc2FtSnhpvbtGfu1FeFG+jNjykMR/dlK4DBJetocRvnDPBz4Vr70j6v5OQgtx2vo1ll85uTRdx+VVdDuYUFH5LbBLdNuJ8LJ/Xw27ViW0Cr0q574voXJwHnFcbcyPt8S8+kZmV7yWL2wHYtj/Q3hRX5Bcy1qO5xNa5k4gvCA2ivfJzxLZLH2eQhhT9Rvgg9FtrUnsGiK0IP4VeFnuWlrgv5gwweX2aPORwI8TG56S8zuX0Go3zq4ou06mM+Hj7jOEMXNjdkU70krs+oRK5VXA+6PbNgX2zCeZcEAYm7t/8vs5jG/p24vQqlJk1ysIHx5p5WhOPM4iDL+4gNANmn6wrBJ1/Tzhfj2AWPklTM55fSJbK78IrZ/Z2MIlqU3ZfUVSWSeMA7+ZUB7tQbj/f1ZyDw4RnrMvZzYl19ZIzhcQypDPE1pdU7teTZgk8nPCM71GTOsfkCtPCmzL7t23AQflyp20vDJCb8RehLLqVOAjSbn5sRh//j7eEHgY+EEi+1FC63ja0/QawofDzwll1WsIH123AS+KMpsQxq9PalOS1ytn933i/i5CZWiXaE82NvSNhJbosTKDMPnuP0vC3ySzC/i3IjlC5fnSzKbo9k4mfkCsRigfj6hhV9YgsR6wceL+DkJ5/AXC8DGL4e5FeL+k+XUY4X32F2DvXPhpGX8Y4d1wP/CvubjOiXmRlfEHEnoDvxf9LSS8Y75MGF7UuP6xIh7TrkDPDA1f9rsTup62rCG/kPEz32+OD+w2icxTCS+I1Qgv1qOIExgKwvtivNlT2W1TWULh9XxC1/XGhJfVUYSvzvNptRJumvjZrMguWgXtMPCCnF3pzPe3E15Ma+ftiuefIYzROZ1WpWctWhOSvg08Oyd7RnxABwhfxTsTCtjdCa0e1xALE0Kh+C+EiRdpWjTNr/zM9y0IhewuxBY4WgXwQsK4yyMI4+52Kwjv1Kh3Jvc/xMp/vL5BzKtnEwrAhYQW48WEl8E7CR8pGyW2FtrE+BfGWjk9snD3JXS3PkpoNX5WTiZ7YX6Z8BK4glA5f3JyL5xHKLQX52S/G2VXJtxPJxEq1D+ONu5C7qMq6pLvJiycCBCvHUsYI5z9zma+X0wo2LM0ehKhde4Cwgtxy2jfV6LcT0ha0QrsWkiosP0o6p9N7Hlazq5dgd8T7v/tErljSCpFk9lFqEy9BDgtlxc/JDfzndBa+npCGZLZtYjQlbhjUXyEYTijhPtwQpdj9H8soTz5drR/VcIkyVsJlbYs78flVxJHWuFdhVaZkJ8Jv4jW7PdrCZXvIcIY0SNoTaTbkTCu8twovx9JJZTQejZKeG4WEiqh5xI+gveP6bQqodJ2bWLXQkKL0q5R7juEoSq705o4syGhZW8TKmbFR/nVKJn5nshkvVcLCS3Xr4j5+FOSRooo8xHi7P2c7FiLbYxzXUIZsB5h0tuOhI/xjxDuxQ0YP+logl3kGgEK9E5nvh8V49yY1jCwRbTKwl8BGyZl/0uArZOwPkgoA/Jy+xI+moYIz+3mMbyVCR/fWS/XcwnjrfcHXjKZXRU2LaRi5jutLvuFMW83IrzrPkFoSNqd1hCX/yY8W6nccVHPXWJePCceWRl/W/y9J2HIyv8Rxkanrf6aVFSVl9OtQE+MDK1+VxJe2GcQvqaPTR6i4XgzpRWAg5k48/1dhK+ij+Rk/zM+5J8mvExfHR/yrOVtgFY3bpVsJncKcUwJrTGT/5XEOVjDriGSCkp0K5r5fnL8fyoTWzW3JhTwbyNUUD5PKFReGK+vP4nsqVE2bUU+hVZrz1qEr9TzCMsundjArnx+PY2JM98/S6iAnMv4bueTaS0B8jbCmK8Ds3sh/l+9RO4gCgoWQoUl6/LdBniQUFn/fbRhvRo2bVMQbtHs958Ruqv+jTjTNV7775i+c+K1SwktA5vH69sSW5Rzsm9NZDclFLDrR52/SnjJvptQCU1bfbMxqWnr31jLcc6O1Rg/g7Z05nuB31MIHzUW9d4l6rxOgV2p7GmJ7FMJFZr14jGP0Kp3DuG+OzDm+d7ESmNNu+Yyvju5aOb7BylegumTtMa9rU9oCT2dUGGcQ3gO/q1E7kzCi3JjQoVxjST+/ySMV/wa41teV2N8WZS28pd+NCTPzMeTOF5BeEk/N5GxeO34+Ps9wOOECv/6SVn85iScvOwpSfqvSuuj8cXA/+Z0Opjwcf4ZwofrTwjP+3eYWHEeIlSUhhK3DzNx5vtOtCovab6eyPhehXcTnpcs/QZryGaV/Wyo0km0xoDvQJio8hnCZJYzCWXhWjXtSuPPWjfTme+fJXyY5/2fAtyQ3K/ZDPU7Cc/+AOEeL5I7J8rlx4EvpNXy+TTCh9F/Ej4evxL917Urza+TmDjz/Z0k93Qi+2/ED11CBfexmMc/JrT2zidUvovkTom6ncn44S9HEJcejL+3I3xw/YbYo5XXQ0dJeTLdCvTEyHDD/lc834zwdftxQsH5JEJrT3484xqECsLzc+4bxBsyG5M3SKjAbRgf0MPiw/VJwov6uYQuiLkVsjsRvnx/QXhBfJDx42m2Br6d6HB2fECq7Eq73OYTCqJV4+9TgPfG8ycTWpmeVpB+/4/YtURomfg7obths5qyHyB8Dc+J8X+B0NV/HfCOKLsmoVtk3Tbza5BQAP4bYfLIEdF9iNBavHf8vRqhEE6/UF8VdUorRpPJFa3Btw2hMvVqQsXwmOi+gNDyc14Nm4rG9G4b41wUf3+c0CK4OclSJ4SK1NnAKxO3VQiVut8Ru01jOpXJfpzwoZAt+bQOoXX8SMJL+jOESty28fqcGN4phArhmrn8yF7KezO+lX4TQktP9gJ+KqFSvkv8vSgnez2tD4KbCS2aXyLOQE/iK5M9g9BadlAubY8kvBBfT6ik/ozw/C1Mno8quzZPrm1I6L7LPmLOjPfERYSPlkNz8R9Aq1vwQkKL4UfivfKBCrn/IHxQvTeRy3oTMv2+SGh5e16ie5VNe5G0diXPwg9pjbW9jnBP/nfMt3/P8o3Q0p5+aJ4cdb4t0cMmkf0WoQUqP7luAaGsPJjxLahPiun1TeD/Jfnya5LyidCytV/Bs7Up4T7ei3D/fybG8eKox/x4/QjGtwKuC1yW5PsPCGV6HdkfEp63A2l1k/8nrTJjVUKZsTXhHmpkV3LttcAh8fwcwmSgj0ZbjVBh25fwfJwZ8+htUX5lQvn9rJpy6bvKCGXn8YTy7Yjk2pmEIRqN7IrxvI/xvWLPj+FMWLuTUOE9jfA8/TRJ22yZpJdUyM0htLa/NPd8n06ocD4l3i9vpTWEYEJPp47iY9oV6ImR4QE8Nee2Vbzh/iP+zn8xNpn5PszEsWIfIBTOdxBbCmrKZjPJFzG+u2VlWuPS/pswDq+RXfF3OzPfnxkLkiFCt+/LCF/Dr24ge1Bix07xQb8o5/dSQndIY7ui2zbUmPnOxElSqxMqKNcwvgu8lly8tpBQ0H44yqTpeEHUvR2bFlFz9jvho+bL5IZ7EF4ax+XCLZN9Ga2W9rEFmaPtryOMR/skoatpCaErL1sn9npyY3SjvyNycdSe+U6oTO4Yz7cgmS1KqBx8Nvk9mew+hEqX5dL284QXx9MJvRn/S3i2XlLDrsNzdjWa+U74gPxfwssrnYW7MaGyunaF3CaEl2PW8rsrsEcujvfSarXfvqlNybVas98JZeb7CffVC4GfJv4PyYVZJvvmVJZW+fBSQgXqLdH21aP7jwmVxPUSP+lH9bqE+30oF79Rf+b7yrQaG4xQvv2QUDE7lfEfClWy2fjhrFwZpDWpK7M1G2ryw6Z2JbJPo2Lme4z7aTHNv5nT4Vu0JrXVksul5XGEsvhsWj07ZxMaJxrbRc2Z71m+Eu65Iwm9i0cn/s+NdtSROyIJcz7hA+Hb0Y5vMb4s3r0oH3QU3JvTrUBPjAxfxRcTKmzpi3pVwlf3+pP43ZeaM99Juj3j7/cAf2gqm7qnv+NDcS2tAfyN7MqHm7tWOPM9ifvjhN11zpgkjEllc/auSbKjDeHr9RcdyK9JZ75XpMEJxBdIXbmS64sJrTN7EF6uP5+KTVFuZypmvxMqv1mX1stpjXfdCbi+HVnCSzPNt2cSXs6XEFo+tqe1YPLOhEL558SKN+HluVWBPY1mvidplbbU7cHEVQ1qySb36oGEFq5PxHtlU0LFo127ms58f0WM91eEF+Bw9J/Pr1pyiXzWnf4Mwji0iwjj2xrbFK/Vmv1O+Jg6h/DS/gqtVRdeC5yfC7O2bO4++Rqhcn9ivGd+GdMi/aB/Nq3u3ouIM7kneb5KZ75TUhYQnoPbScrNJrKT6PKCTK4Ddk068z2Rm8P452UX4Mp25Gg9W88iNKp8g/DRfDZxdYmmdpWla7w2YeZ77vp6hGfnUEIP0C+mKLc1ocFoYfy9J3HDFB31jmlXoGeGhjElxxC+2D8WH4p9gdtq+j+EgpnvOZlx46UIX/MHTUU2VyBuRJhhuNdU7aJi5nuJn3fTmoRRNSasiewiQldZ2oo81fwqnPmek8nSPntJP4fiykQtuZzsewiLxB9PbIWaqk1JHIWz33P36oVR5iJC5aJsl6laskz8GHowi5/x47CGCRW57xNaIn5X06bSme+T+PkxJd2MdWUJrXw/Bf5B60WSPZtt20XFzPec7G6E1paTCS0n3ymSnUwunz85f8OEyt02HcqrSWe/R5mNc79vnOR+rS2byOxNaAE9gNC6nZaTw/EZOTc+Z5fXtKtw5vsk8qsRJpi8uFOyhNa+c4hlYYfsKpz5Pon8IkLFvup9UFfu2YQP1t2IrZwdsqtw5nuJ7KGEcvcDJJNt25VL5BcQhi+8so7OOmK6TbcCPTU2vAx2JTTP/5bQzblHcr32TOoy2dwDNbeJ7CRyY4PSiwrEdu1KCtqxme+dSIOmaUXoOnlup+xqN7+ayNWJn+L9uSe1qUKHwtnvyf2RXl81xrM9yRaNdWUpeUHFvHoS8NGK9F6F8JG0Z869ycz3Mh3mEcbSTpilXSVbJEfoIt8pfWY7ZRfFM9+LZpTPI3Qfb0Brz+1aclXxx/+TPZ+FNk2iw4TZ70X3VZaehArvJwrCnFSW3KxnYrf1ZPmTC+/ThBn0uyRutWdSl8nm0mL3JrJV8RPGUz6zE3ZRMtGlRDbV0whlUC25SfKq0USbbuQX48u5gSZyk9iV760s3MtdR/mRvfhXOMwsmwm3LP5eh9Dq9hBhfM/jhC/U89z992Y2TCgUrya0XE0mOxhlryHMtqwje1+F3BDhIb+lw3YNEVoEb6whO0joWru6pl3bEsaU1Yq/C3ZlutbJr+2irufXkKsT5lxCxfE6dx+tY1MDu7Z09+vMbCALO4bl7u5mNujuI/m46siWyU2WNyW2vYbQErZf3XDNbDVCV95fashmy/k8UlN22MM2e3n7h9x9eZftyiadPDqVPGiSr3XtKbKpQocx9ybxx2fHG8g+mdYyWY8Qxuuek8gME8b4fqcs/8xsc8KEvffF32tVhDkUw7yYMBSoKv7d3P27NcIdJlRebqghtwdhXeTCMmOKdn2nZrq+kDCB7NwacpcR5h1MKa+maFed/JpLGDd6DaFFuUrukhphDhF61i7JP5eigk7VYGf6QYOZ1DVlX9dEtqbchB0xOmTX67uUBq+dZru6oWujMLtkV3Zv1Z6hXFe2plzhMIOcHYOM3zml9sz3mrKbN5GtIbcnuaXHOmhXXV33Iox7rJ0HncivvE1duF+2bBBmJnsm1bOeXz6ZXVEubb2qE+Z+DWT3byLbJMzptqsL9tcdEtNNu/brRph17NIx/hhAZPyKMGYFd/+1u19E+NpZjbDkz3cIg9rryp7TULaO3NldsuvsBrJN0uBr02xXN3RtGmY37DrHzLYnTDhx4Htm9u7oZ8Td3cxWJ4x9uq2B7Mo15X5dZUT08xBAg/j/2ED29w1kV68htz5hPb5O27VuQ11XqZsHDcKcNL9SmxrmV9375bcNwvxtbPXfgDBxCHe/hLD+bdbKvC5hEtf/1sivrIW1bpgXNZD9dgPZX9UNs8qmHthVW9cm8feBXUu6EGYtu0SOXtRuZ8JBg1nH3ZBtEqbsmn5dp9suGsy6rivbJMyGNnVc19lqV7fSqht2dVNXpjibu8Su2mF2Q7YbNvWDrrJLR9NjhR3jWUQcU/I6wsDq+wgtTRsR1kDcvNuyTcKUXdOv63TblY5PjOOoXk1YtmVtwoD3jZvKNgmzoU0d13W22tWttOqGXV3MV/P4coqy8wgT8W4nfJC9qA2baofZDdlu2NQPusou0Zjprvn220GNWcfdlG0Spuyafl37wa6cv9IZyu3KNgmzoY0d13W22tWttOqGXV3M1wmznjtgU+0wuyHbDZv6QVfZpWPSdJxuBfr5ICxtMTxdsk3ClF3Tr2uf2PUa4IJOyjYJs6FdHdd1ttrVrbTqhl1dzNfNSXaB65BNtcPshmw3bOoHXWWXjskOdbULMYuwsBTNAk8mi0xVtkmYTeiGrk1kZ5Jd3UqrJvSDrpZbzqkTNAmzG7LdsKlpuN3QVXaJMlTxFEIIIYQQPUHLKQkhhBBCiJ6giqcQQgghhOgJqngKIYQQQoieoIqnEEIkmNkiM/u3nNulcbcSIYQQU0AVTyGEGM8iYKziaWbzgNXd/a5p00gIIWYJqngKIcR4PgFsbGbXmdnxwC7AjwDM7BNmdouZ3WBmJ0yjjkIIMSPRckpCCJFgZhsA33H3LePvk4FvAdcT9hff3N3dzBa5+wPTpacQQsxE1OIphBCTsyPwU+BB4HHgdDPbD3hsWrUSQogZiCqeQghRgpltBPzJ3Ze6+3Jge+B8YB/gsmlVTgghZiBD062AEEL0GQ8Dq8TzvYgVTDNbGZjv7peY2c+AO6ZJPyGEmLGo4imEEAnu/jcz+5mZ3QTcC7wpXloF+LaZrQQY8M7p0lEIIWYqmlwkhBAFmNlc4Gfuvni6dRFCiNmCKp5CCCGEEKInaHKREEIIIYToCap4CiGEEEKInqCKpxBCCCGE6AmqeAohhBBCiJ6giqcQQgghhOgJqngKIYQQQoieoIqnEEIIIYToCf8fGMLr2KbOlccAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 864x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 432x288 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "aly.FFT(variating_tone_framed,1024).plot(ystart=0, yend=1000)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "When the number of Fourier transform points is equal to the number of samples in each frame, the spectral resolution is increased."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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hhBBCiN5hEruSUuNUCCGEEGKqoZ7TsZjZeoTv269J+NLTfHc/JR57D2H1/SBwibsfG8O3Ar4BrExYZ/Yid38qJ+0x8c3srcAHE7GtgG3c/cYiHeu4Jprm/WOOV3GDNFSSbl68UXFquK0aPp64sxhIXA7luTQar42t2DcqXg23VaP0KjkvfTm25tmXxivTtS+JP5FlmBdvIKl0+qx9FVCeS6XJ6mapWy6RpiJF10Du9dLiec/cr63k04fDnrBnxsil90Oey7Y0z6L7tMjF3HjIS7+Ku6IsXid0Kkq/jtupTp+rIsqeyWVuEDulV7N4nSrDVvHeUqcWnew5XQq8391vMLOVgOvN7EpCY3UeMMfdnzazNQDMbAD4HnCAu99kZqsBY2omM9s5L767LwAWRJkXAD9p1jAVQgghhJiqaLV+DvGLTffE/UfN7HZgHeCdwAnu/nQ8ln2i9NXAze5+Uwx/oCDpdxfET9kf+H67bBFCCCGEmFRM0lEvmKDPl5rZBsALgeuATYGXmdl1ZvYLM3tRFNsUcDO73MxuMLNjC5Irip+yL3Bum80QQgghhJgU+JBV3nqNji+IMrMVgR8DR7v7I3H4flVge+BFhM+VbhR12TGGPQFcZWbXu/tVOTqPiR+/IoWZvRh4wt1vKdDnMOAwgFX692HF/pe012AhhBBCiG6jntN8zGwaoWG6wN3Pj8GLgfM98DvCwqfVY/g17n6/uz8BLAS2yUm2KH7GfjTpNXX3+e4+193nqmEqhBBCiKmIu1Xeeo2ONU7NzIAzgdvd/UvJoZ8AO0eZTYHpwP3A5cALzGyF2Lv6CuC2nKSL4mNmfcCb0XxTIYQQQizLDFn1rcfo5LD+DsABwB/N7MYY9v+As4CzzOwWYAlwUBySf9DMvgT8nuB6aqG7XwJgZmcAp7v7oibxAV4O/NPd76yiYOqqYiCnnd6XuIV4hqEx8aq4TMoLn0a+m6C845lblLI4JPql7xxlNqbpZjYWuY/Ky7eOfXmygwXuTfJ0zbOxFfsa4+W5ncpLI9U1z8ai+IM5bmXy7YMRG5uXYZrXrMT1zuM5rnfECBPpFqvQ/VKOy6OW82hjWt3mIXsagNV9+eGwJ8Y6bCmljvumVLbIfVve8UEbrK1XVZ2K8i07jo3Ub626RKpKnXNVR68qZVeVqnm16tZqMjDUg43OqnRytf6voLBE31YQ53sEd1KN4e9I9pc0if9zwlxUIYQQQohlFzVOhRBCCCFEr9CLc0mrMnk9tAohhBBCiHzcqm8lmNlZZnZfnFKZhZ1kZneY2c1mdoGZzS6I+zcz+6OZ3Whmi6qorsapEEIIIcQUo82r9b8F7NYQdiWwpbtvBfwZ+O8m8Xd2963dfW6VzNQ4FUIIIYSYYvigVd5K03K/BvhPQ9gV7r40/rwWWLdduqtxKoQQQggxxZhgP6dvBy4tUgW4wsyujx9CKmWZXhA1vcQdxijHRdY/5vhAUqBp/KHErUuf5bhfSry+ZK6B0jhLzZPjY+Pku3QasSVdoFcWrxUbW7GvMR7WF49X17XIxjxdR/JM4ufYl8YrKsOsPOromtmXxiuNw4iNRYss82x8dJK6j8pcLRW5aZkK7pG6wUS6y2onq/pywOh7r8itXV5Y5r5ocAJcKpW5IRp2VTXK/VR3XCqV5VnmFmrUOZ5Al0plLrTy3IFVTRNGl0cr8au6VuwqNeqC9OuZkfnuPr9i3I8AS4EFBSI7uvtdZrYGcKWZ3RF7YgvpaOPUzJYDrgFmxLzOc/dPmNmZwFyCq6k/Awe7+2NmdjhwBDAIPAYc5u63VUkzHstNt5M2CiGEEEL0Gl7DlVRsiFZqjKaY2cHAnsCuic/5xrTviv/vM7MLgO0I7bhCOj2s/zSwi7vPAbYGdjOz7YFj3H1OnET7D+DIKH+Ou7/A3bcGPg98qUaaNElXCCGEEGKZodPD+ma2G3As8Pr42fk8mZlmtlK2D7wauCVPNqWjjVMPZD2X0+Lm7v4IDH/idHnCfASy8MjMLLxKmmn8xnSFEEIIIZYp2utK6lzgt8BmZrbYzA4FvgqsRBiqv9HMTo+ya5vZwhh1TeBXZnYT8DvgEne/rCy/js85NbN+4HpgY+Br7n5dDD8b2AO4DXh/In8E8D5gOrBLnTSbpZscH55XsUb/vszue+n4jRRCCCGE6CGGKqzCr4q7758TfGaB7N2Edhjxc/Jz6ubX8dX67j4Yh+nXBbYzsy1j+CHA2sDtwL6J/Nfc/bnAh4CP1kmzWbrJ8fnuPtfd56phKoQQQogpSRt7Tiea0sapmf1vXKiUhl1cNyN3fwi4msSJq7sPAt8H3pQT5fvAG+qmWSFdIYQQQogpzQS7kmorVXpOnwF2NrOzzWx6DFunSuJm9qzsc1ZmtjzwKuBPZrZxDDPg9cAd8fcmSfTXAn+pmOYdFshNVwghhBBiWWIyN06rzDl9wt33NbNjgV+a2T5UX2i0FvDtOEe0D/ghcElMZ2WCy6ebgHdH+SPN7JWEBvGDwEEQJtcCZ7j7HnlpuvvFZtYXw/PSzWW5xPz+nHZ66m8vz0NCXpzGeNNz4lmJ775BH+t/rSxOma5F+rZi43jtg87Y2Ip9ab5Ffk4nqgzTfMvK8EF7ajhsdV9+eP9RW5Ibbzh+ByqhTvnVbCXdojiZL8RWfaeO18Y8X4ytppkXL02/FRt7oQwzv9P/6Ru5tlO/ksNhJbbmxWmMlydb5s9zKA3rgF6j/Lvm6FXkz3NYrxJbBgvSb6ZTkV6tnqsyW1rRa7xlWMWPa1W9hnptDXYPNjqrUqVxagDu/nkzuwG4Ali1SuLufjPwwpxDOxTIH1UQnk6uzU3T3YeK0hVCCCGEWJao4+e016jSOP14tuPuPzWz1xB7NIUQQgghRO8xJRunZrZN3L0r2c+ovSBKCCGEEEJMDL04l7QqzXpOv5jsbwssguEJGU6BD1IhhBBCCNFdpmTj1N13zvbN7A/ursaoEEIIIcQkYEoO6zfQY0vQhBBCCCFEIVOx53QiiO6gFgF3ufueZrYhwXn+aoTPkx7g7kvMbAbwHcL0ggeAfd39bznp7QacAvQTXE+d0Cz/NYZGXPAM5LqdGCF1w5FJpi4oUkcTQ6P2x7bri+JlLE3dH8X//S3ESXWFchur6jpe+1J909it2Dhe+1J9O12GZbqm+eZdb2m8+/qfGA7b+pnZw/v/N+Ph3HSbUccNUZGrFTE1qeqCqx3XxeO2NKRV4LZn5D4tcalUoFdfjeu8Wf4hLx8Tlu/+rrlrszRekSu78dKKXkV25dndLp2K9Coqw2w/PVd19MqTHa9e4z0v7WZoqOMfAe0YzRZEfYWR5+q6ZnZqetzd39uG/I8ifGZ05fj7ROBkd/++mZ0OHAqcFv8/6O4bm9l+UW7Up0ljQ/drBKf8i4Hfm9lF7n5bG/QUQgghhJg0FLjLnhQ0a1YvIvReXg98MNnPtnFhZusSvgJ1RvxthEVW50WRbzPy+dJ58Tfx+K5RPmU74K/ufqe7LyH0wM4br55CCCGEEJONqfqFqHWAS939Dx3K+8vAscBK8fdqwEPuvjT+XszIZ1LXAf4J4O5LzezhKH9/g77/TH4vBl7cEc2FEEIIIXqZSbwgqlnP6f8CR5nZH8zsW2a2r5mt0o5MzWxP4D53H3cPbAt5H2Zmi8xs0eKhn0909kIIIYQQHWdK9py6+w+AHwCY2QuB3YDz49zOnwKXufvvWsx3B+D1ZrYHsBxhzukpwGwzG4i9p+sCd0X5u4D1gMVmNgDMIiyMSslkMtL4qV3zgfkArxo4exLPyBBCCCGEyKcXG51VqbSUy93/4O6fi75P9wRuBd7Raqbu/t/uvq67bwDsB/zM3d8KXA3sHcUOAi6M+xcx8snUvaN8Y8Py98AmZrahmU2P6V7Uqo5CCCGEEJOVoaG+yluvUepKysyuB84CznH3B939EeDHcWs3HwK+b2afAf4AnBnDzwS+a2Z/Bf5DaHhiZmsTXEbtEeeiHglcTnAldZa739oss+9/YOHwvvWN7URNHdjmvYH09ScOhyyJn8gODY4t9Nx4SZy8fC1Jv46uufGSME/0q2xjiX2j8kzj59hYqmtCrfMSw8vsg8TGGmWYa+M4yzCNV3ZeHrprteGws763Do3I5VNr1DlvdVxw9RK9em1kLoFW8RnDYQ/bkuH9PL3LXDkVHe8fdkPU3E1RymCOy6Kic1nmWigvvH+Uy6bqborK0sqTG69eRe6dytLPc1VVFq8sraGccq2TVlmcVtPqCSZxz2kVP6f7AocQXDMtAs4GrsjpuWwJd/858PO4fydh1X2jzFPAPjnhdwN7JL8XAgsb5YQQQgghliV8qFymVynty3X3v7r7R4BNgXMIvah/N7NPmdmqnVZQCCGEEELUYzIviKo00cDMtgK+CJxEGM7fB3gE+FnnVBNCCCGEEK3QzsapmZ1lZveZ2S1J2KpmdqWZ/SX+z/XoZGYHRZm/mNlBeTKNlDZO45zTkwkLjrZy9/e6+3Xu/kXgziqZCCGEEEKIiaPNPaffInhtSvkwcJW7bwJcFX+PIo6wf4Lgd3474BNV3JJWmXO6T5wLOgZ3f2OF+EIIIYQQYgLxNq7Cd/drzGyDhuB5wE5x/9uE9UMfapB5DXClu/8HwMyuJDRyz22WXxXN32Fms7MfZrZKXE0vhBBCCCF6kAmYc7qmu98T9/8FrJkjk/f1zrEuZhqo0nO6u7v/v+yHuz8Yned/tELcnuboz490/HqOKxgb5WJiLEXuY8ripQvo8vLNc0dRFqcoz1bjZeTZOF77oL02ZrSia1G8lFZ0bSUOjOhbput69A+HLSmQ7TbZOeiUm6Wec9vSJqaqXRlFLrhW9+XHyE5L7oTMdc9A6uYtOVWl7pOSy7DPrDD9dH+Uxzcbkc3cXqVx8vQqczWV5rE0Ec3Tq8jNUSY7lOPqKtWr7FyNyiuxO0+vMrtT/VO9BrL4o85rviuoPFvy9Coqwzy78/QaSOOPU6+l+ae1a9RpdJrZYcBhSdD8+NGiinm5W+r3cJxU6TntN7Nhx3Nmtjwwo4n8KMysP34C9eL428zseDP7s5ndbmbvTWR3MrMbzexWM/tFQXq58c3sgzHujWZ2i5kNypuAEEIIIZZFfKjG5j7f3ecmW5WG6b1mthZA/H9fjkylr3c2UqXndAFwlZmdHX8fQphbUJWjgNsJnygFOJig6ObuPmRmawDEqQNfB3Zz939k4Tnkxnf3kwjeBDCz1wHHZHMchBBCCCGWJSbARVT29c4TGP1Vz5TLgc8mi6BeDfx3WcKljVN3P9HMbgZ2jUHHufvlVbQ2s3WB1wLHA++Lwe8G3uIe3MO6e9bSfgtwvrv/oyG8kaL4KftTMtlWCCGEEGKq0s7PkprZuYTFT6ub2WLCCvwTgB+a2aHA34E3R9m5wOHu/g53/4+ZHUfw+ATw6Sodh1V6TnH3S4FL6xoDfBk4FlgpCXsusK+Z7QX8G3ivu/+F4OR/mpn9PMqf4u7fyUmzKD4AZrYCYSXYkXkKpfMqXsyhbGK75okJIYQQQkxa2tlz6u77Fxwa04hy90XAO5LfZxE+4FSZKn5O3xgdpz5sZo+Y2aNm9kiFeHsC97n79Q2HZgBPuftc4JuJwgPAtoSe1tcAHzOzTXOSLoqf8Trg10Ut83RehRqmQgghhJiKTOYvRFXpOf088Dp3v71m2jsAr48r+5cDVjaz7xHcCJwfZS4Asrmsi4EH3P1x4HEzuwaYA/y5Id2i+Bn7oSF9IYQQQizD9GKjsypVJiTc20LDFHf/b3df1903IDQYf+bubwN+AuwcxV7BSOPzQmBHMxuIQ/MvJiykaqQoPmY2K4blTcoVQgghhFg2GLLqW49Rped0kZn9gNAofDoLdPfzC2M05wRggZkdAzxGnJfg7reb2WXAzQSXkGe4+y0AZrYQeIe7310UP7IXcEXsfS3lL/2PDu8vtaExx/uSt448H3Op/7ahxL1XK/GK4mR+L1O/mHm6DnjfmDiN8bJ8O6VrszhF8Yp0rWpjnn11dE3jdbsMYcTGsjJ8dGiF4bBnkrTa6SOzXX5KU52KfFzWSaNddOJcpfvt9O/aq+etnddGds88zdLhsDwflEV+L1M/pMPxi+7jsJ6WIcs/PwM5PU4DSV5ZvDT/VNch90KdCvXykfs41SvP7pQsVl6cVK9hnSrolXeu0jxG+Ywt8feZdzz3XBXolVcWIXy0TkV6FflszTs+Xr0G2nfLt4XJ3HNapXG6MvAEYfl/hjMytF6Ku/+c8Fkr3P0hwrzSPLlhd1AN4Xsk+83if4vw/VchhBBCiGWWoR7sEa1KFVdSh0yEIkIIIYQQoj1M5p7TKqv1NzWzq8wsG2Lfyswm/adLhRBCCCGmKpN5tX6VBVHfJHjzfwbA3W8mLHASQgghhBA9yGRunFaZc7qCu//ORk8cX1okLIQQQgghuksvNjqrUqVxer+ZPZewCAoz2xu4p6NaCSGEEEKIlhkabN/nSyeaKo3TI4D5wOZmdhfwf8DbqmZgZn8DHgUGgaXuPjd+Z3UewQvGfcDB7n63mc0DjovhS4Gj3f1XOWleBqwV9f8lcIS7DxalW6Tbo7ZkeH8oxyVKn+W7IRl2PVTgxiiNN5Azc2IpiWuOGK8or2y/KK+qutaJVxQnT9c8+9I4qa15eXVK12ZxiuIVlWGZrpmN4y3DNI0yXWf09Q+H3dL/wPB+nuugPNc/Re6AyuLnhRfFL3MzVObmqI4bpKq6tJJmUbrjta9KXq2kO5Hnrer1VpRXyr8seAB80kYG5p6duEzL6poil0p9nuMOMOc+TPdHuQtKKK23Y7xRrq5y9MrTqSj9NP7SJF4WnhdnlF5F7p06oFcalhunIP2yurQvpzyK7M7i5Z2rOnoVnatW9Cqq17vFZO45LW1Wu/ud7v5K4FnA5u6+o7v/rWY+O7v71vGTowAnuftW7r41cDHw8Rh+FTAnhr8dOKMgvTe7+xxgy6jXPiXpCiGEEEIsM0zpOadm9vGG3wC4+6dbzdTdH0l+ziS+87n7Y3nhTeIPANOT+LnpCiGEEEIsS/Rio7MqVYb1068tLQfsSf5nRYtw4Aozc+Ab7j4fwMyOBw4EHmbkc6SY2V7A54A1KHC2H+UuB7YDLgXOS8Jz0xVCCCGEWFaYzI3TKsP6X0y244GdgI1q5LGju28D7A4cYWYvj+l+xN3XAxYARyb5XeDumwNvIMw/LdLrNYR5pzOAXZLw3HQzzOwwM1tkZoseHPp1DTOEEEIIISYHk3lYv5WlXCsA61YVdve74v/7gAsIvZ0pC4A35cS7BtjIzFZvkvZTwIWERVCNFKU7393nuvvcVfp2qGqGEEIIIcSkYWiwr/LWa1T5QtQfzezmuN0K/An4cpXEzWymma2U7QOvBm4xs00SsXnAHVFmY4uTWs1sG0Kv6AMNaa5oZmvF/QHC0H8WPzddIYQQQohlicncc1plzumeyf5S4F53r+qEf03ggtjeHADOcffLzOzHZrYZweXT34HDo/ybgAPN7BngSWBfd8/8q94YV+HPBC4ysxmExvXVwOkx/gkF6eayxMa6dEr3i1xYNIsDDa43ctZk5bpnKnJ5EkWHkmtnlHumHNccfUmWabxcl0klLkfKdK1qX1FeRboOu2eqcV7qnNc8fdt5XlrRFRJ3OSVl+BBPD4c9Z2il4f27+tI1hWOp42aoavxOpAnlLpXqpFXV/VPddCcqfp1023nexhu/TrrrD60MwGBSvy215N7w5m6Iplme66DmboLS9NPYA57jSmrU82K0TkXp5+lUpNco93Q5euXplOqVOknK06vsXKV6FbrNs6yuS/Oqdq5SvQpd5dnYa7fbZZjmUSf9XqDAU9qkoErj9NGG3yunX4ty9/8URXT3O4E5OeFjhttj+InAiQXHto7/7wVeVCCTm64QQgghxLLEUA/2iFalSuP0BmA94EHAgNnAP+Ixp97iKCGEEEII0WF6cbi+KlVmwV4JvM7dV3f31QjD/Fe4+4buroapEEIIIUSPMZnnnFZpnG7v7guzH+5+KfDSzqkkhBBCCCHGw9BQX+WtDDPbzMxuTLZHzOzoBpmdzOzhRKblr3RWGda/28w+Cnwv/n4rUPi9eiGEEEII0V18qH09ou7+J2BrADPrB+4iuAdt5JfuvmdOeC2q9JzuT/h+/QXA+XF///FmLIQQQgghOkMHh/V3Bf7X3f/eAbWBCj2ncTX+UWY2090fL5OfTKQumfLdr4x12RRCfUycIjdEZa5e8twQpXH6bKwbkMGc/bw4zeI1oyhOqa5x/xnyXXTlxSvTNc2/znkpIy9eqa4Fbkbaq+vQqDhF8R62JcNhM33sbVzHhU8q26qrpWbpdiLNTtFL561TtGJjp+xL052zNLiSSt3T/a3/yTHx0h6V1HHPUI7fnNHu3cbGG0zipGdlIOccLU1ks73+kvTzdCrSK7UlT688nVK90pzy9Co7V6leRec406uVc5XqVacMi+webxlmlF0jdfQa6jHXTXUanWZ2GHBYEjQ/+9x8DvsB5xYce4mZ3UQYYf+Au99aWYmEKk74X2pmtwG3x99zzOzrrWTWkO5sMzvPzO4ws9vN7CVmtqqZXWlmf4n/V4myZmanmtlf48cAtilIc9v40YC/Rvnem+UrhBBCCNFh6vScpl/PjFtuw9TMpgOvB36Uc/gGYH13nwN8BfhJq7pXGdY/GXgN8UtN7n4T8PJWM0w4BbjM3Tcn+EK9HfgwcJW7bwJcFX8D7A5sErfDgNMK0jwNeGciu1sb9BRCCCGEmFQMDvVV3mqwO3BD9Dk/Cnd/xN0fi/sLgWnNPkHfjEoaufs/G4IGW8ksw8xmERq4Z8b0l7j7Q4RPjn47in0beEPcnwd8xwPXArOzT5gmaa4FrOzu18avSn0niS+EEEIIsczQoTmn+1MwpG9mz04+Qb8doY35QJ5sGVUap/80s5cCbmbTzOwDxCH+cbAh8G/gbDP7g5mdYWYzgTXd/Z4o8y/C508B1gHSBvLiGJayTgxvJoOZHWZmi8xs0aODvxmnGUIIIYQQvYcPVd+qENtpryIsjs/CDjez7FPxewO3xDmnpwL7ZZ+gr0sVV1KHE4bg1yG4DrgCOKKVzBry3QZ4j7tfZ2anMDKED4C7u1nOh3bHSZxHMR9gwxlf7rHpy0IIIYQQ46fdzvXjovjVGsJOT/a/Cny1HXk1bZxGX1anuPtb25FZwmJgsbtfF3+fR2ic3mtma7n7PXGY/r54/C7CJ1Qz1o1hKXfF8GYyQgghhBBTnqEe/PJTVZoO67v7ILB+XJ3VNtz9X4TpApvFoF2B24CLgINi2EHAhXH/IuDAuGp/e+DhZPg/S/Me4BEz2z7OeTgwiS+EEEIIscwwmT9fWmVY/07g12Z2ETDs59TdvzTOvN8DLIgN3zuBQwiN5R+a2aHA34E3R9mFwB7AX4EnoiwAZnaju28df/4X8C1geeDSuBVS5Kd0aNjv5Vgfnil5capQJ16ef8HUP2ueXkU+CYdy/Hm208Y8f6Gt2AcjNubpVBSvlTIcLVtd17y8xqtrpmVRnFT2kb4RP6eP+sj+9Jz3zX5PwmxoTNigjVxPqX/EYRnLn5CUdzwv3dw0m6TbTJfBCdSl6HieLp04b1V0yU2/y2XY6nnbYEYI33SDkfUTN/zlWcP7fVG06DE6mHPL9BcIZ6KpX8q+RDYvWpp8Fq8sTp5ORXrlpZ/mUWR3K7aMV69WzlUar1tlmJd+WZw6evXaPMEqnyXtVQobp2b2XXc/gODP6mTCU3OldmXs7jcCc3MO7Zoj6xTMc00aprj7ImDL9mgohBBCCDE5mczD+s16Trc1s7WBfxCcqQohhBBCiElAa+vke4NmjdPTCY7wNwQWJeFG6L3eqIN6CSGEEEKIFvGhKdhz6u6nAqea2Wnu/u4J1EkIIYQQQoyDXlzoVJXSBVFqmAohhBBCTC6m6pxTIYQQQggxCRmaisP67cDMZgNnEFbQO/B2d/+tmb2HsPp+ELjE3Y+N8lsB3wBWBoaAF7n7UznpjolvZm8FPpiIbQVsE70C5FLH5VHe8TRslPsXb+6+ITdeSZw6erUqW9nGVuyrEK+qTq3KFh3Pwlstw6r519GlLN6KQ9OGw2Yysv+IPQ00uPMpocyNUZFs1XRbTbPUpVINxqtLmWyn0m1FtpfKsEw2TXf6QLi2533628Nhu74h+Sz3UD8AljxwvS/1IzQ4NrMYpzBeXhzAlo59NPrA0ralnxevzJY8neroVXquknh1znHlc9Vi+l0vw4I8ctNP47Bvrl4TiXpOizkFuMzd947+TFcws52BecAcd3/azNYAMLMB4HvAAe5+k5mtBjzTmGBRfHdfACyIMi8AftKsYSqEEEIIMVWZqqv1x4WZzQJeDhwM4O5LgCVm9m7gBHd/OoZnnyh9NXCzu98Uwx8Yk2igKH7K/sD322SKEEIIIcSkYjIviOrk5wM2BP4NnG1mfzCzM8xsJrAp8DIzu87MfmFmL4rymwJuZpeb2Q1mdmxBukXxU/YFzm23QUIIIYQQk4Eht8pbr9HJxukAsA1wmru/kPDp0w/H8FWB7QlzRH9oZhbDdwTeGv/vZWZjvhbVJD4AZvZi4Al3vyVPKTM7zMwWmdmixwd/2x5LhRBCCCF6iKFBq7z1Gp1snC4GFrv7dfH3eYTG6mLgfA/8jrDwafUYfo273+/uTwALo3xeunnxM/ajSa+pu89397nuPndm/0vGaaIQQgghRO+hntMc3P1fwD/NbLMYtCtwG/ATYGcAM9sUmA7cD1wOvMDMVoiLo14R5Rspio+Z9QFvRvNNhRBCCLEM41596zU6vVr/PcCCuFL/TuAQwvD+WWZ2C7AEOMjdHXjQzL4E/J7gdmqhu18CYGZnAKe7+yLgrIL4EBZg/dPd76yiXKHLo4zE5UkfY98sytyr1KHIjVGWb6u69rqN49V1vPa1g7bpmsQrOy8r+4zc43kufUbZnZN+md6l57Dk2usvit+CLkWutsara0vnpez4OM9bSp6uE6FL6fFxlmF6bTzwZHDps+XbDhwO227pyKBYdsd4wTXQn1d/FchalC3qncmLZ0n6Wbz0Ls7TK0+nOumnedSxu9N6tZp+ni1FdjfTKY2Xd67q6FUUpxW90jjfbd+js2V6sUe0Kh1tnEZXTnNzDr2tQP57BHdSjeHvSPaXNIn/c8JcVCGEEEKIZZZe7BGtir4QJYQQQggxxZjMrqTUOBVCCCGEmGIM9sDUglZR41QIIYQQYorR7jmnZvY34FHCp+OXuvvchuNG+DLoHsATwMHufkMrealxKoQQQggxxejQnNOd3f3+gmO7A5vE7cXAafF/bTrp51QIIYQQQnSBLriSmgd8J/qhvxaYbWZrtZKQek5zyFxE9CdhRS5sGuMAUOAWalg2OT6SV5HrjfpXTTt1zY3Xgn1Q5Majtbuiso0V7Mv0nUxlOD3R6e6+x4f3Z/o0oNxtVhW3WnkyddLNcx3USprt0KVdaXYq3bzzVoVO69KuNFOZIrdZf+IZADYYWmk47O/9TwzvZ5JLE+c/aVplrqTSvAZiv0waI73jytx5ZXupVJ5eVVw2ZXkNJH1FeXqVuVErsiXTq+xcpXrlnas0j1bOVRqvl8qwKP08veqk3wvUGdY3s8OAw5Kg+e4+v0HMgSvMzIFv5BxfB/hn8ntxDLunsiKRjjZOowP+HyRBGwEfB1YjtLCHgPsI8xLuNrN5wHExfClwtLv/Kifdy4C1ov6/BI5w90EzOy4v3U7ZJ4QQQgjRi9TpFokNzcbGZiM7uvtdZrYGcKWZ3eHu17SuYTEdHdZ39z+5+9buvjWwLWGC7AXASe6+VQy/mNBgBbgKmBPD3w6cUZD0m919DrAl8CxgnxhelK4QQgghxDLDoFvlrQruflf8fx+hLbddg8hdwHrJ73VjWG0mcs7prsD/uvvf3f2RJHwmsYHv7o8lX3saDm8kiT9A+HypN4Q3jS+EEEIIMZUZ8upbGWY208xWyvaBVwO3NIhdBBxoge2Bh9299pA+TOyc0/2Ac7MfZnY8cCDwMLBzEr4X8DlgDeC1RYmZ2eWEVvulwHll6SbHh+dVzOrfmxX69UEpIYQQQkwt2tw7tyZwQfAWxQBwjrtfZmaHA7j76cBCghupvxJGyg9pNbMJ6Tk1s+nA64EfZWHu/hF3Xw9YAByZhF/g7psDbyDMP83F3V9DmHc6A9ilLN3k+Hx3n+vuc9UwFUIIIcRUpJ09p+5+p7vPidvz3f34GH56bJgSV+kf4e7PdfcXuPuiVnWfqGH93YEb3P3enGMLgDc1BsZJthuZ2epFibr7U8CFhEVQldIVQgghhJjqeI2t15ioxun+jB7S3yQ5Ng+4I4ZvHL8wgJltQ+gVfSBNyMxWzPxmmdkAYej/jmbpCiGEEEIsSwx69a3X6Pic0zhx9lXAu5LgE6KbqSHg78DhMfxNhMm0zwBPAvtmC6TM7Ma4Cn8mcJGZzSA0rq8GTi9JN5cif5x5x/tLfIB2mjJdKdC1NN4EMtrnac7xFmzsVfta1jXKFF1vWbzUn97qvvzwfuo/MCPPr2SRP748P39lfkqLjmfhqe/CduqS0i5d6+hSR9dWdEkpOt6KLnnpTuR5GxpVD4zEu73/IQDWT/ycPmbPJGkFBpNr3Er8w6Z5ebKfxRsYZcvYeD5K15F7MttbWpJ+lfOSxUttydNrMOfeTvVKa4w8vcrOVapXmd2pJnnlMdpv71i98s5VkV5FZZhnd55eRelXLcM6evXT3XZCI/lXzOSg441Td3+c4Nc0Dcsdbnf3E4ETC45tHf/fC7yoQEbD+EIIIYRY5unBDtHK6AtRQgghhBBTDPWcCiGEEEKInsEncdepGqdCCCGEEFMM9ZwKIYQQQoieYbDbCowDNU6FEEIIIaYY6jltATM7BngHYUHZHwmfuVoL+D5hdf/1wAHuviS6jfoOsC3B7+m+7v63nDR3A04heCo6w91PaJe+qRug4bAKa+Hy4uXKlbghmgiq2likayt5dds+6JyN7SJP79S1yfTkHA4UuIjJKHP90wplboha1aWVdFt1iTTedHtJl07o2iqtpPuELR3efzrp+8nSSt2l9eW4+0nDUtlUl4Ho8mewwEVXvjuvsfmmcnl6DRS4FsrTK5XN06vYHdjQqDyL9EqPl+mVd67SNMrPVXP3cUVlmOY1Xrur6lV0jeTpVeca6QUm8ZTT7jjlMrN1gPcCc919S0Jjcj+CG6mT3X1j4EHg0BjlUODBGH4yOe6mzKwf+Brha1RbAPub2RadtkUIIYQQotcYqrH1Gt30GDsALB+/8rQCcA+wC3BePP5t4A1xf178TTy+a/YlqYTtgL/G778uIfTA5n3WVAghhBBiSuM1/nqNrjRO3f0u4AvAPwiN0ocJw/gPuXs2prMYWCfurwP8M8ZdGuVHOfZPZXLiCyGEEEIsM6jntCZmtgqhV3NDYG3CJ0l3m6C8DzOzRWa26MnBayciSyGEEEKICWWwxtZrdGtY/5XA/7n7v939GeB8YAdgdhzmB1gXuCvu3wWsBxCPzyIsjEoZlsmJP4y7z3f3ue4+d/n+7dtljxBCCCFEz+Dmlbdeo1uN038A25vZCnHu6K7AbcDVwN5R5iDgwrh/UfxNPP4z9zHfPvg9sImZbWhm0wkLrC7qoA1CCCGEED3JZB7W74orKXe/zszOA24AlgJ/AOYDlwDfN7PPxLAzY5Qzge+a2V+B/xAanpjZ2gSXUXu4+1IzOxK4nLD6/yx3v3WibCpyK9Wf4z4llc328+SguiuqVuOkuhTp0ChbVa5K+q3YVydeK/bVlS3VocNl+KA9Pbz/nKGVxhy3xJY6E9+zeK3EKYrXKV06oWsv6TKZdG1Vl6csDC4+lQwyLkldScVsR7v7GaEv51uNQ8ltPNoNUHRDVKD+0pyepAHPcdtVkH6m15DnD5jmxRtKmgh5euXpVEev9FyV6ZV3ruroladTUfplehWfYyvUKdVrlPuoGtdIK3oV2d0terHRWZWu+Tl1908An2gIvpOw6r5R9ilgn5zwu4E9kt8LgYXt1VQIIYQQYnLRi6vwq6IvRAkhhBBCTDHqjPD1GmqcCiGEEEJMMSbzsH43nfALIYQQQogO4FZ9K8PM1jOzq83sNjO71cyOypHZycweNrMb4/bxVnVXz6kQQgghxBRjqL3D+kuB97v7DWa2EnC9mV3p7rc1yP3S3fccb2ZqnAohhBBCTDHaOazv7vcQvuiJuz9qZrcTvsLZ2DhtC2qc5pA3ibjMtVCnqeOeqU5a3bYrpcjGPNrl9qodjNfFVh5laS1Nqp03L1l3eP9Z08am25e4ehmK4zd5YUXxio43i1MUr0q+regykbr2ki5V062ja7d0eXhpCL9i4D8j6ee6XPIxYQADNnaW2tKyx7ONZFCU7nBaiS6Ze6KiOMOuhXJ0alWvol6wTK/UZVKeLmXnqo5erZyrIl06XYaj3EMlslXLMNWrjt29QC1Xb2aHAYclQfPdfX6B7AbAC4Hrcg6/xMxuAu4GPtCqS8+Ozjk1s2Pi3IRbzOxcM1vOAseb2Z/N7HYze28iv1Ocp3Crmf2iIM3c+Gb2wWSewy1mNmhmq3bSPiGEEEKIXmQpXnlLv54Zt6KG6YrAj4Gj3f2RhsM3AOu7+xzgK8BPWtW9Yz2nZrYO8F5gC3d/0sx+SHCeb4TPjG7u7kNmtkaUnw18HdjN3f+RhedwcF58dz8JOCmm9TrgGHf/T0EaQgghhBBTlnZ/E8DMphEapgvc/fwx+SWNVXdfaGZfN7PV3f3+unl1elh/AFjezJ4BViB0834GeIu7DwG4+31R9i3A+e7+j4bwRt5dED9lf+DctlkhhBBCCDGJaOeCqPip+TOB2939SwUyzwbudXc3s+0Io/MPtJJfx4b13f0u4AvAPwiTaB929yuA5wL7mtkiM7vUzDaJUTYFVjGzn5vZ9WZ2YEHSRfEBMLMVgN0IrfsxmNlhMe6iJwevHb+hQgghhBA9htf4q8AOwAHALskUyj3M7HAzOzzK7A3cEuecngrs557zzdgKdHJYfxVgHrAh8BDwIzN7GzADeMrd55rZG4GzgJdFXbYFdgWWB35rZte6+58bki6Kn/E64NdFQ/pxHsV8gDWXO2nyfj5BCCGEEKKANq/W/xU0X6nr7l8FvtqO/Dq5IOqVwP+5+7/d/RngfOClwOK4D3ABsFXcXwxc7u6Px/kJ1wBzctItip+xHxrSF0IIIcQyzCBeees1Otk4/QewvZmtEOcq7ArcTli9tXOUeQWQ9YxeCOxoZgNxaP7FUb6RoviY2awYdmFbLRFCCCGEmEQMmVfeeo2ODeu7+3Vmdh7BtcBS4A+E4fTlgQVmdgzwGPCOKH+7mV0G3EzojT7D3W8BMLOFwDvc/W7ghLz4kb2AK9z98So61vE72auU+WTtVRvb5Ye01+2D9tqYkU50fyTZf+yZ7HhK6tsvO17g93JUHpYTVi1OleMjuuRTT5fx6Zqvy9jjjfFa07VamqMp0qVauvXOW2fLsOi4xet4MEktz69k8X0+VovBnPgA03L6ZYZaqEvSOM8k+Y/49sw/M3l65emUHq9Tv+Xp1Tfq/JfrVTX9VvTKP1f5erVqd9V4zxRcb32jrvOxPlN76XlTRJu/EDWhdHS1vrt/AvhEQ/DTwGsL5IfdQTWE75HsP9Qk/reAb7WkrBBCCCHEFGHyNk31hSghhBBCiCmHek6FEEIIIUTPoMapEEIIIYToGSbDvNgi1DgVQgghhJhiqOdUCCGEEEL0DL3oIqoqHW2cmtlRwDsJ/kq+6e5fNrPjCF+OGgLuAw5297vNbB5wXAxfChwdv0jQmOZlwFpR918CR7j7YFG6nbCrTld5VdkiufG6IWqFVu0r07Wd7pXGSys29oJ9WR5Lk0rnsul3De+v7TPHxEmds+S5/ilydjzUwvGydMt0Ief4ROpS5XgrupQdnwq6lB0v0+VJlka5fPdPgznufFLy7rki2bz7v8jtVDOK6pGhkjojL/2itMrsrqrXUIX6qRW7O6XXeO0eb69hmRuzydAr2c4vRE00HXPCb2ZbEhqm2xG+9LSnmW0MnOTuW7n71sDFwMdjlKuAOTH87cAZBUm/2d3nAFsCzwL2ieFF6QohhBBCLFMM4ZW3XqOTX4h6HnCduz/h7kuBXwBvdPdHEpmZRFdc7v6Yu3tjeCNJ/AFgehI/N10hhBBCiGUNr/HXa3RyWP8W4HgzWw14EtgDWARgZscDBwIPM/IpUsxsL+BzwBoUONqPcpcTemQvBc5LwnPTFUIIIYRYllg6iQf2O9Zz6u63AycCVwCXATcCg/HYR9x9PWABcGQS5wJ33xx4A2H+aVHaryHMO50B7JKE56abYmaHmdkiM1v01OB14zFRCCGEEKIn0bB+Ae5+prtv6+4vBx4E/twgsgB4U068a4CNzGz1Jmk/BVxIWATVSG66Md58d5/r7nOX639xRUuEEEIIISYPapwWYGZrxP/PAd4InGNmmyQi84A7oszGZmZxfxtCr+gDDemtaGZrxf0BwtB/Fj83XSGEEEKIZY0hq771Gp32c/rjOOf0GYLLp4fM7Ewz24zg5eDvwOFR9k3AgWb2DGGO6r7ZAikzuzGuwp8JXGRmMwgN66uB02P8EwrSbQtlrkc6RSt5tKrXeG3stq6tximzO3Nv0gu6ZjwdZsgAsHxyGz/Kkqbx+qIt7XxT7kvcv3T7DbxTunQi3VbT7CVd2pnu0hyfjHmue9J0+nJcDxVRx6482by8itxe9dWoM6rqVSSXl1eeXu08V0V2N+pUpFenyrAVvcrKsEivbtd1VZgMOhbR0capu78sJ6xouP1EwhzVvGNbx//3Ai8qkMlNVwghhBBiWeOZSbwgSl+IEkIIIYSYYqjnVAghhBBC9AxqnAohhBBCiJ5h0DSsL4QQQggheoSJWLTdKdQ4FUIIIYSYYkzmxinuvsxvwGHtlJtsst3OX7p2X7bb+cuu7uc/VXWdqnZ1O/+pqmun7NJWb+u6Ar2wAYvaKTfZZLudv3Ttvmy385dd3c9/quo6Ve3qdv5TVddO2aWt3tbRL0QJIYQQQghRBzVOhRBCCCFEz6DGaWB+m+Umm2y3868j2+3868h2O/86st3Ov1Oy3c6/jmy3868j2+38OyXb7fzryHY7/zqy3c6/U7J10hQ1sDhvQgghhBBCiK6jnlMhhBBCCNEzqHEqhBBCCCF6BjVOhRBCCCFEz6DGKWBmNpnSrpqmmXWsfDuRdrvPVSs6dqu86uTbyXKtoUPH7hnRfqZyebXTNjNb0cz625XeOPToel3YCarqUeMZV7u8OlTH98T5nUrohAJeYVWYmS1nZp8zsxXKLkQLbGhmG2RpF90QZjZgZq8zs93NbFaTNKeZ2Z5mtmKSZlM93H2onXZF+dXMbPUs7SZ29ZvZS81s6yRsjGwdu8zsFWX6JbLLAaeY2bMaK69GPaqWV9WySmTnmtlyZdcAVLsG69rVSdzd2/mgMbM+M1t1/JqNn3Y+aDppV52HctXyqppmh1/oS3WoWx9WvAaXA04F1jWzgYZjjXVGn5ltE+/xtZvlEXU92MwOMbOt2mGTma1UZk+DXbl1Ro5sJbuq2pTIvtPMZifPjVw9zOwoqP5Mpnp5daKOr2yXaIFufwWgWxuwF/A+4EfAm5PwPqIXgwb5LwLnZtd1/L9CQdqfA34M3AecXKLHl4CFwB+AT8Sw6TlyxwP/BE4G5jVJ703AR4BLgBe32a5PAecATwBfKLHri1GH/wDHNpGratdRwAJgoGL5fgn4Xtzvj/avN57yqlpWMfxk4Kao94sLZOYB7wa+D+yXllWb7NoAeB2wRoXz9VrgCGDnErlDgbc0hPUXyK6e7I+59nKul8MLrn1r+N0Ju/YCXtUQNqYcgBcBz26m3zjseiHwtpjHrCZpvg34MPBOYOZ4ywtYBXheVZvi8ZOAA8rux6o2tWBXab0BbAKsW3aNJPInA2fH/enACsA2Tey/CLgZOIWCOjPKfgG4GPgh8NkY9uwcuap14fuBs4FXAKtWsKtOnVHJrqo2xfBjgceB82nyuU/gaGAI+DqwWtl1WLO8OlHHV7JLW2vbMulKKr4R3Qx8nHCjvp9QKXzK3a/NkV8DuAJ4hbs/HN/utgfujemc4+5PRdnNgPOAbYDZwDeB37r7iTnpbghc4u5bmNk0QkP5XsIFfxuwwN2fjLJbAp8ArgK2BBYTGomPuftZ8S1wZeAa4DPA5sCDhIpmwN3vHKddmwM/AHYFlgO+AXzH3X+Qk+5zgZ+4+wtir9HJwL+jXb9w958lslXsWhH4I7CLu99pZs8DXg78L3C9uz9oZubxYo55Xgzs7e53m9kngecBjwH3AF9x93vrlFedsoryO0W7fg6sBFwLzAAecvdL4jX4a8KLRB/wXeB3wPvd/Q+N57QFu54HnBmPPTse+2ZBulsA5wK/BV4KHAjcDqzk7vcncqsBN8a8/koo/8vMbKa7P25mfe4+ZGYrAycC60eb35l3/SXpbkJ4kdnW3R+NPTZrE67baxtkO2HXmsBfgJ/G4xe5+3UWer2fSuyaBfwEOMDdFzfkNXz9tWjXFsC3gb8BM4Gr3P2LBTadA1wAvAT4LHAroZHylwbZ0vIi1BkLCA3+p4Gd3P2RvPOZpLsZoV55mbvfZ2arxHSWc/c/1bWprl1RvqzeWIVwf/1P/P8Ld384xjV394Y6Yxah8fJed7/NzE4G1iLcm0uBT7r7nxP7f+zuW8Zr/evAf9z9vTl6rg9c5u7Pi79/Sqg3niQ0lE51939VtCnT+4PAwcClwD9iWcwgdDj+eZx1YalddWyKx9chPGt/Crw6ntO7gCfc/YTk2XUZ4dn1SuDavGdLkmbd8upEHV9qV2OdIKqzrA7rvwH4g7t/293PdvctCY20C83sU9YwlOLu9xF6wda2MEy9N3Aa4UH2eiAd1jgQuMDdn3H3fxN6G+eZ2WwAM3uZmc2MshsAd1oYotkReBnhYfonQs/QVjFOP+Hhcj+hl+N7wPKECvz5ZrZqvAmOA6509x8RGjofJfQO/9rMTh+nXe8Cfuju98cH8zeBd8ehFczs+YnsNoSHPTGNvYBfEd5uP5nJWhiKqWLXqsDvY8N0E8ID7/nRvq+Z2QppJeDu/yE0BjeK8q8gVHo/IFRgcxJdD65YXhtVKaukvK6Ptt0Ty+LlhAb988xseULv0O/d/UJ3vwDYH5gGLDSzw2M6o4adatp1PKEyfTXwHuDg2FjJ40PA19z9cEJD5VjCA+19ZrZjpou7PwB8jPAwPB94p5l9BbjIzGb5yDSSz8X/hxAahscm58ZybHsZcHVswL0G+A6hx/nDZvZRC0NtmXwn7LqX0BP0v4TyOsTMPgB808IQa2bXZwiNnMVmtoaZbW9mnzSzdQoeQnXsOg440933IVzXb4kNtuy8ZcOWxwCnu/unCD08nwTOAj5kZgek57ZieX0auNHdn0+4R19tZl80s5cWnFOAPQgvn/eZ2a7AtwjDqx8ws7cmOlS1qZZdVerDeJ4fJ3Q6vJJQV+1oZjNiA2/FtMxiw/VKYDMzezawBfCBqPc/CHVaxt6Elw5iQ/5YYFsbGQafZ2ZrRdmVgb+b2fpm9ipCvfV5QsNnLWDrqjZlDWpCo+xOQuP1eYQ6/vJMx3HUhftUtGtWFZtinAHgX8AjwFxC/fpHQofQnOTe+TTwS3e/BPg98FUzO6bxmdVieR1EtTp+A+rV8fdUsEu0ivdA9+1Eb8DqhIpvx4bwDQjDJWskYVnv8rsJb19nAIcmxz8KfCb5/Txgs4a4FwLrEYa4bszC47HPx7ArCW+BWfjHgRMa9Fuf8KYLYcjlF4SH9RcIQxpHAyvH418B/jvur0F4OK3fxK5vFtlFeIl5GfD8Bn0uI1SgLyY0crM0lwO+SnjI/JZkyIMwbHRUQzrPKbIrhvXH8/5fhErsXTF8IOq+R04Z7wf8hlAJH5GEvwf4ZvJ7Y2CLKuVFGKK9qUpZxfAdiUNIhN6+RTGN98W0Twdmx+PHE4Y1Nyf0PDSmlenw1nhOfwgcmWcX8Nx47ldKjv8AeF/c3wJ4adyfEc/58fEauovQYN8hnuszSIa3CQ+iKwjDtOsA1xEeBkcTeog3JvS6D0T5ZxMejq+Iv1fMsW0dQs/xrHjdvJbwUH9JzH+Vcdq1fJFdyXl9SUzrhYQH+PXAnwnTZJYHNiT0yOwX5c8Gvka4VhYTelNbtes5hB7ZtZK4pwLHx/2tgDcSrvePERqDzwLuBt5CGL4+MOq0XMP10qy81gOuTsrmRsI1eXoss6ML6s+tCFNRliP0du4ZdTgg2jUjpl1qU3J/V7Irp974akF9+MIYfzqwewz/MqGhsiehJ2yFhnP16ljmlwMfTvI5EPhRw/PjeZnu8f8CQiPleYQh4bSO/wyhIXM+yRQnQoP8zKp1fIPc24CD4/458ZwdF21tnC7yFqrVhasBm1Sxi9DDe3cVm5Jnwpfj/nGE+/hjUfcVCSNIMxrqzrMpGKaPMnsQOkHKymszYMuKdfyXqFfHL0esrxvtKtJbW7Wt6wpMuMFghMrwKEJ3/H6ESn9GPP4LwhBIXtx3xJvpVuD1MexnwNsa5LJKL7vBPxMrgvOBAxtkVyU8dHcnNLS2j+GXk//A+0y8+P9GeEvdGNg0HstsmMbIAye76S4B9iqw69Bo1y0ldi0f/2cNj9MIvdA/yuwiNmQIw1LbxYri68DGMfwKQsW6foP8cUV2xeNbEx5eC4ATgGfF8B8wuvH7imR/Z0IF92/gHY12NZ7fovICDonhy5WVFQ0PUcLw9gGEXpF1gJ0IFeJsRoacv0loJKyepLddk2t4l8SuQ3PsmkHoOZiZxHkpYVgXwjX+luTYVoRK9QLg5w15/YKxLyUHxzJcl9CD8+ZYNjsTHmLZ+crK9hhiRU9osByUpNVHuCe/SOh5uJpkniChNy+7lqdHu1asYddlsRyvrmDXRwgjBhsAf496f5PQsFsdOJLwUvtbQq93Fu91wCkFdc2JZXbF3xuSzO+L5/FHcf+nmV2Exv4lhOtvYUN+vyZnfnNJeb0r7p8B3JrE2ZbwAjSr4Bo8jdAju5DkmidMK3pRYtNKZTbF32vFsjoPuLSKXfHYJwj1xt9J6o147lO9nkW4lz9JeJn4TEF6z422LSH0HK4cy+5tBfLT4v/3El68/4eGOj4eX53wUvJTYM+03qBhbjMjdfwomxpk1ieMIK1LaGjvHs/FvERm5YI6I68ufEGDPbl2AVslaa5WZFPc37Mhrf+OOtxDuI5nAOtkdVb83x/LbgVCb+TtxBfOJN+jqpYX8QUwp7yOZ3Qd/6xEZmPCi+R5wEsa7cop22OjXXc12qWt9a3rCnTV+LAg5VpCJfw+wpv19cnxbNHUeYRG2PKEh+FxhKGVi4HTouyzKa7I5xJ6Xa5MZFfOkTuG0Ei8Oqb/2pj/AmDXKPPCWKkc0xC32cTxlwK/SX5ni6YWxvRWJPQo5dl1VLyRn8PYhRSvIUxgvzyR/QyjH8LTCY3JrxEquIsIC0Q+0JDWJoQH2web2LEDoQfyMsKb7NcJQ0Ek+S9IKqB+QuX9DsKb8nnAF+Oxo6Pu7yM05tNetOHyapDrT/IaVVYx7CBCY+YvhLl7EHqc7wQ+UmDTKwhDa2vE37uQNBKS6/TdhIb4vjHsOTHsYsLLwRcT+cYKOZtb+F3CA+z85FjWyF+B0MP3BcJDZKN4nfy68RoD1iTMI/4z8PEYlvaQrdqQ/04x75cC1zQcSx8KrwVuIDTk5xEag79IbFizIe4MQm/tKLuibPbQM8IL4JcJi22G7Yp2pA3d5xCGUa8DPhrDtk6OL0d46fos8Nok/FWMvg5f1HA+dif0zuTZtXcs/7SnbXrcvk2YCnI+Ycj1hYnMSlGPrxOu130zHQhTRg5MZAvLi9CQezehN/HbxAY7oV74Q8P5XoWkQQ+8nfCi/jPC0PlB2fXC2GtwgHCffSuzKTmWLpybSahDvk5oIKd2vYUwZeQ3hHt69Xiuf0ZDfVJUN8Zz/4+Geietr4zw4rg7oa46jbAWgXjdfCbm/4aGPDYEHgV+lsgeR3iR2SuReyvh5eI3hLrqrYQXszuAV0eZjQlz1QttSmy5n6T3MzmWLZraKdpjhGv/UMIL4nCdQVgw+NmCPDbO7CKMXI2RIzSwL81simHvY+xLxiqE+vFdReWTk/bHiL3j8ffRhPr4dMKIoMV0dyc8X9LyegfhefZvGkbXGF3Hv4PwbLgPeE1DXufEssjq+P0Io4o/jfFmEZ4x3wLe06y8tNXbuq5AL2yEnoWjgcMYeeufRXhzPYgwd+7WeFNvncR7NuEhsgphGPAoQg/fjJw8vhlviFT2hYweytiQMJzxYsIb4Y1R7r3x5lk/ym2SxMlbUZw2otZhZEJ8ZtdNhIfdx2LaawJrN9oV979MmDN0JiMNo7WIDXFCo2/bBtmz4k3cR3i7fgWhEt6V0HtyA/DcGGd2tHfthnPRrMLanfAwfQMjw2srEXpdN4q/tyBUxDsRG0uMVNKzCPNA30WYB7hLTh6nRb0zue8SXxDi8Q1iWW1LqCRnEXqe5xIaB+8jNMY2ymytYNfKhKHP1HtElu48wtDu44Te5xc0yGQP1W8RHhRXxnO0BiONyh8QKva5DbKXR9kVCUNgpxAa3b+INu5Ew4tX1GXM8F2BXQOEa/5+4kM92noa4UH98+R6WJXQy3c+4aG5ZbTvO1HuGpLeuBy7ZhEaWT+P+q8UZdZvsGtn4P8I1/82idyxJA2nAntWIFnBC/wSeFNSFlfTsEqc0LA9kFCHZHbNJvQM7dAgm/U4fz7a9Qrye5BmExrc1xPuw7nxvN4b5fdNyr60vAjX+Vdjmosym5K8LiHUg3+I52AAeEGMdzXhBWEHYD5h2P+SmO8qSTonRZu2jefqG1F2IaFBt1y04biYT2bXLELP1M5R7mLCyMOujK67cu+v5Dy8B9g/7q9C6HU8kdBjPisnXjYKNovQA753LMdfEZ8VieyniF4JGmSHe35jnusSplusR5gCswPhhf1ThGtxA5KV70U2xWPvJL5gMXr6zQdjWX2B8AxZl/BMyaaczWakLvw9sGFS978OmJOk9XFCHdAoN4/wYjVAuG83j+mtSHhBz0bLXkKY//0m4HUV7crugfUYqRtmERr7ryW8bO2bE29GInsbof7dh9BBsle8XrLpNN8g3Fup3IlRz51iWbwoblkdf0f8vRtheswvCesJlqtil7bqW9cVmDBDQw/BrrFS2LKC/EGESf9p2PsJb1efaqgIspWlXyI8cN8SK4KsB6+PkSHjMtlM7ivEOS6MzOH8XJJnfzO7GKmMpwEvT8JPZWQu52sIjclT4//TGNs7OofwEHgPoRHz9VjxvCoef04T2dOi7IsSma8w0mu0FuFt9wcEl1MnMzKsU7e81mdkyHATQqPyq4RGyvcZPcR9KiPuT95DGObL5hJm5bBagdz+eZUPoVGTDS9vDTxMaND/H6Gx3t+krNJraa2GdD9AdJcSf7+O8LC7h9CTYUlZfyOe3+nx2KWEHobN4/EXEnumG2SPSGQ3IVTCzyE8GL5HeBB/kNBQTV98Vm84Z81cYH2YsKAu+/21eH2sSeiNOr1J3K8QXnws6r1T1HmdHLtS2fmJ7LMJjZ714rY8oQF2DuG62y+W+R7EhmWZXYSH8uuA+Q26fjLur0HwfvFxclwaERqfX87uI0JP2JmERuV0wovlfxXInU14mD6X8GK2epL/ZwnzJ89ldA9u9lDuZ+Thn/YqrsTIC2uj+6l0vuhXCA2vE4nDnlla8dhJ8feHgKcILwXPiWHrAIcn6TTKfiU5/ysz8mL5WuB/curoG2N59xFe7nch9PY1dUUV43+S0OA6Mtr3YcJIR9bASacknMzo0YkPEu6X7N7rryCbnfNsWtQpjMxJ356wuObLhAU4ZzNSF46xiwL3bUk5bESoW48m3GdfJby8N5brV4Cbk+v1p4Qe3b8R7v0+wghFntw5Ua5xXvosRnpQ1ye8PH2W8IL5HUZGieqW1ynA5+P+Wwg9ou8jeb4msv9FrG9iPk/EMv4Fodd4BUIDPU/uK4SX4LMZPdXmXUS3i/H3NoSXsj8TR8aalYu2elvXFZgQI0OFeC2hx+ksQgPrw4y8BU4jvA2lN1ilRVOxAnlNvLBnELr6v0N4oOxIeGv8TTzWTPZlhDfo3xLerj/O6Pk9c4ALEx0y9y/N7BpgdA9brUVTSbz/x0iP10JCQ/KjxLfwCrIfI7xVT4/5n06YVnAjcdEFYU7Yjwlv+GXlNZBTXpUWTcVz+1VGv+m+Oeq0ZhLWTC7PR+HWhAbXWwiNx2Nj+ExCD9LrKti0dU66lRZOERpbC4B9krCVCA2//2WkZ6+/iezxhJeJ1yb3zU2Eh/cnCQ/OI4jDy7E8hxs6MWx4ekSDHatk55fiRVM7xd+zk3gbRx2yhuKthJ7RM4gr6xO7imTPIvS67d+g05GEh+aBhIbsrwn336zMlgp2zWCk17Vo0dRFhBebQxri7svIEOQFhJ7HTxFe1j5WIvdpwkvXfydy2ahE1mD6JqEH76XJOcq1ieYvFquQv3DqG7HcPpCVG6HHPn0ZPTXqfEeihzWR/QmhJ2u7Bh1mEurKgxjdE7tqPF87EhoUPyf0qjY2wgYIPX0DSVizRVOvjXqsEI+/i9G9iesS3Cll5f6zeC1Ukb2acL/tx0iv52cZqTNWJtQZcwgv8FXsGtMoomTRVCz/eYT74+xYRu+J8isS6u8XVJRLn1VGqDtPIrzAvCs5djZhOkhVuwaSfCovmiI0iucT7qdfJed2GuEae12J3HRCr/3rkzQ3JLw8bkN4qT6eUB9m0xXGjJhqa33rugITYmR44/pc3N+MMIRzfLxxViUMab4tka+1aCpe8I1z1z5GqMDvJPY4VJTNVsjPZvTQzoqMzJP7BmFeYBW7GhdgVV40lYQ/n1DZDBCGmN9AeKt+Sw3Z/RM7XhYrg4sa4l5KGHqpVV6JDltTbdFU48Ku1QiNmBsY3aNZSS4em0WojD8ZZdLzeD7hQVxmU94CuNlUXDhFePH5Fg1TSwiV/IkN6RbJvoGRHvthp9bR9gMI8+M+TxjWWkToUf4K4ZpM54/2J+W6B6OnolReNEVocO4Q97cgWQVLaECk89Gaye4Z9bSGc/t1wsNlU8KoyP8Q7q3nVLRr8+RYrUVThJfL/yE84NLVxc8lNGjXLpHbmPAAzXqQdwZe2ZDHf5PME6xg0+4kDatEptLCKUKd+VHCdfUq4FdJ/IMb0iySPTyVTXR7PaGR9e5oe+ao/QpCQ+f/JeXyJ5KXZ8Lw7Rsb8q+8aIpQb62RxBsg3IsvIPRMfqyGbDafOatX+hmZ65vZej7hRffsunYlx9anfNFUf5Q7nJF5lZkOP2FkIV4luYZzeSKhLl7AyEv4AsJ1XNsuKi6aysqVcM0dSRilPCaJ//1oRxW5dyVprkB4ibgw2vETRtfFu+aVg7bWtq4rMCFGhjfI0xrCtiK8MX06/i76ys08miyaapAdHmKNvz8E/L2uLA09NEklcAxhHtavW7GrMd2GeKMWTeXkfTzBcfNZTdJoKttg77OI80Pj7x0JjpHHW15li6aanYMvEB8yVeUKjs8l9PK8kvAA/s14bIrHXkH5wqlZjAyf7cXI/NuXATe1Ikt4sKbl9nzCA3whoQdlO0IP5umEXssPNuSzGqHyn9EQXmfRVNaAXZnRjapXpmVbRza5Vvcj9JSdEK+VTQiNkyp2HZZjV6VFU0n43jHf38fzNC3GbyyvSnKJfDbt53mEeXEXEaaU1LYpHqu0cIpwTZ9DeLB/hxFvEm8Dzsu5/ivJNlwn5xJeAE6O18wfCI2/9RK5dFRoXcLLWOHXrBh9jTcumiqax3ogYZHbb1qRbaLLywl1xjptsKtw0VSD3HRG3y87ERzh15Zj5N56AaHj5UeEF+sF0Z7adhWd13hs1KKpnOPrEe6dQwgjSb8dp9wcwsvrrPh7N+CPZeWqrd7WdQUmxMjQM3UJoccg7WlamdCj9ZwKaRxMw6KpHJlRQ2SEXoH9xyPbUGluRFg5uft47aLJoqkmcT7IyBBm4TBgC7KzCUP62aKtdpTXmEVTOTLZuc8e5C8iGZ6qK9cg+yHCl15OIjSMxm1TQ5xRC6dyrtULosxFhAfdmMUDdWQZ+8L0MGGaw3ZEH4OEBvSFMY29YtgRReeqIb0xi6YqxPkFBb1GVWUJDbJfEb6mNiuzdbx20WTRVI7sLoRem1MJPTAX58k2k2ssn4Z40wgNwLe2qawKF04lMs9t+P3HJtdrZdlEZg9CT+q+hF7yLRk9IrUtI/MeLyK6TypJc8yiqRL5VQiLYl7bLllCw+wcRurCdtiVu2iqifxsQuO/7HlQVW5bwkvtLsQGaZvsGrNoqonsIYRe/4+RrMFoVS6Rn0mYKrFPmay2elt2M0554pctDiD0APyLMNS7EWG4c/MosynhQv8XoaK6pUl6ubLpJ8vi10ieripLGDbJk8s+nzhAuAnObYddWf4WPtX2Ene/ph3noO65il/b2M7df9sOu1rRoa5clfzNbLq7L6ljU4kOfR6/VmRma7n7PWl4w/GVCRX+44RK/No6sunxBpv6Cb2ux7j7x2LYgLsvjfvTCMORBxI8MEx39+cm8XPTjcc+TJhG8OZmsha+sLUXYRjt0DqyeXJmtjrhBeaX2T3bLrviPbs7YY7bYalsw/2/POElcWlM+89V5cryd/elZralu99Sx6Ymuq5EeFF/GLjf3c/Ju66i7AxC7+1+7v7hhjSbylr4nOSGhEbdPYTFKv2Z/g16pvpNI8yrnk/ordzOwxfFaEzT3R9vTCtJM1e2Ia9d3f2qqrKEqVuF+ccvIj3P3W8dr11m1u/ug1XsasjHCCMIz1SRi9dqXln15eU/keXVUM9l110lubw0o13AyJe4Gut50R6WmcYpgJmtQHBbtBOhUr6asFLvpxa+k/tjworJxYSVo/8AfuDu/xdvoK0JvTtrlcj2R9kbCJV+Fdl/lcgNEBwx39ZmuwYIleEfK8j2E4bxrq9o1wsJN3Sl/DtgV6ZrlfLaJup6XgW5KmnOIPQW3NjwAC60KR6vYteW7n5jY4VKqC8976FUVbZIrrFsyogNmLsJL1OXVUnXwvfQpwP/riCbuTJ6rKLsNB/5tnpq/3BjrYN2ZQtlHh9PGdQp16r25NlUokNjg7JS/vHe8RqyazDiIuwxwvzhcxKZaYQ5xxcXlZ+ZfYnQiN7F3X9u4eWwWZoDMc1LCNOOyvLfxd0vr5DuNEKv4c0V5F5J8Bud+wI3TrsurnheX0VY9Pb9CnKXEdZBjKusxmlXlfKaQZgqcAOhZ7pMbmGFNLMXz4VFjXAxDrwHum+7sRFWIE5LfldehFNR9oA6shXlxnx5pE12Hdihc/C2LtvVCV1rpVnHphaurcqLW6rKVpSrMvT7VkY7Wq+8aKqi7OZ1ZCvI7Ubi2aLNdlXVdXfCPMzKZdCO8mq0qQPXy5Y10sxkz6Z8wcxeJXZtzujFqFXSfGMN2TfVka2TZrft6oD9pdNvJsCuN3YizTK7tLW2dV2BXtmosWClE7J10pRd3de123ZRY8FODdkdqqZZwY5+RlyWVV401SHZbtrVsTKok39Vm2ra1RFdacNCoCReNi+xcpodkn1Ou2yaALsq69rOsprKdmmrv3VdgV7ZqLFgpROyddKUXd3Xtdt2UWPBTlXZOmnWtKntuk5Vuzp1rjphVyd1pQ0LZnLsqpxmJ2Q7YVMv6Cq7tHViW6bmnJZhFResdEq2Tpqyq/u6dtsuq7dgp5JsnTRr2tR2XaeqXZ06V52wq4PlWmnBTE2bKqfZCdlO2NQLusou0RG63TrutY3gAmZngnPfvxAuxldOlGydNGVX93XtBbsa4q1EcDe2W7tk66RZ08a26zpV7erUueqEXR0s1y8RFqfs1EabKqfZCdlO2NQLusoubeMu624r0MsbOQtWJlK2Tpqyq/u69ohdYxa3jFe2Tpo17Wq7rlPVrk6dq07Y1cFyHbVgpk02VU6zE7KdsKkXdJVd2sa7aVhfiClEdMMz090faZdsnTTr0Ald68hOJrs6da7q0Au6Nrqyagd10uyEbCdsqptuJ3SVXWI8qHEqhBBCCCF6hr5uKyCEEEIIIUSGGqdCCCGEEKJnUONUCCGEEEL0DGqcCiFEgpnNNrP/agi71MzW7ZZOQgixLKHGqRBCjGY2MNw4NbPlgdXcfXHXNBJCiGUINU6FEGI0JwDPNbMbzewkYCfg5wBmdoKZ3WZmN5vZF7qooxBCTFnkSkoIIRLMbAPgYnffMv4+FfgJcBPhe/Cbu7ub2Wx3f6hbegohxFRFPadCCNGcHYBfAQ8DTwFnmtkbgSe6qpUQQkxR1DgVQogCzGwj4J/uvsTdlwLbAecBewKXdVU5IYSYogx0WwEhhOgxHgVWivu7ExuhZrYisIK7LzSzXwN3dkk/IYSY0qhxKoQQCe7+gJn92sxuAe4B3hkPrQRcaGbLAQa8r1s6CiHEVEYLooQQIgczmwH82t3ndlsXIYRYllDjVAghhBBC9AxaECWEEEIIIXoGNU6FEEIIIUTPoMapEEIIIYToGdQ4FUIIIYQQPYMap0IIIYQQomdQ41QIIYQQQvQMapwKIYQQQoie4f8DxKChK/c6d3gAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 864x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 432x288 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "aly.FFT(variating_tone_framed).plot(ystart=0, yend=1000)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Similarly, the variation of power spectral density with time can be shown."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 864x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 432x288 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "aly.PSD(variating_tone_framed,1024).plot(ystart=0, yend=1000)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Notice that the spectrum appears blurred at the junction of different frequency components. We try different frame lengths."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 864x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 432x288 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "variating_tone_framed2 = variating_tone.framing(0.01,0.5)\n",
    "aly.FFT(variating_tone_framed2).plot(ystart=0, yend=1000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 864x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 432x288 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "variating_tone_framed2 = variating_tone.framing(0.06,0.5)\n",
    "aly.FFT(variating_tone_framed2).plot(ystart=0, yend=1000)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It can be found that the spectral blurring at the junctions of different frequencies is less when the frame length is shorter, while it is heavier when the frame length is longer. We claim that **the short-time spectrum has higher temporal resolution** when the frame length is shorter. In the example audio, the frequency components do not change frequently, so the effect of temporal resolution seems to be trival. But when it comes to speech signal processing, the temporal resolution is the issue that has to be considered due to the complexity and variability of the frequency components of the audio.\n",
    "\n",
    "At the same time, we can observe that **when the frame length is long, the short-time spectrum has a higher spectral resolution**. Therefore, the choice of frame length in constructing the short-time spectrum requires a trade-off between temporal resolution and spectral resolution. 0.03s is a general value."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "When framing and windowing, besides adding the default rectangular windows, we can also add **Hanning window, Hamming window or Kaiser window**, which can effectively improve the spectrum leakage problem.\n",
    "\n",
    "* Hannin window: $w[n]=\\begin{cases}0.5+0.5(2\\pi\\frac{n}{2L+1}),& 0≤n<L\\\\0,& others\\end{cases}$\n",
    "* Hamming window: $w[n]=\\begin{cases}0.54+0.46(2\\pi\\frac{n}{2L+1}),& 0≤n<L\\\\0,& others\\end{cases}$\n",
    "* Kaiser window: $w[n]=\\begin{cases}\\frac{I_0[\\beta\\sqrt{1-(1-\\frac{2n}{L-1})^2}]}{I_0(\\alpha)},& 0≤n<L\\\\0,& others\\end{cases}$ , where $I_0$ is the first class Bessel function and $\\beta$ is the parameter to be specified."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 864x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 432x288 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "variating_tone_framed2 = variating_tone.framing(0.06,0.5,window=\"hann\")\n",
    "aly.FFT(variating_tone_framed2).plot(ystart=0, yend=1000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 864x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 432x288 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "variating_tone_framed2 = variating_tone.framing(0.06,0.5,window=\"hamming\")\n",
    "aly.FFT(variating_tone_framed2).plot(ystart=0, yend=1000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 864x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 432x288 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "variating_tone_framed2 = variating_tone.framing(0.06,0.5,window=(\"kaiser\",4.0))\n",
    "aly.FFT(variating_tone_framed2).plot(ystart=0, yend=1000)"
   ]
  }
 ],
 "metadata": {
  "interpreter": {
   "hash": "34e3d493db18dfecee561d26c028e75a8172bde10b9fb1f75764229aafdf7eef"
  },
  "kernelspec": {
   "display_name": "Python 3.8.3 ('base')",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.3"
  },
  "orig_nbformat": 4
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
